Dice Probability Worksheets

Dice probability worksheets Whether you’re wondering what your chances of success are in a game or are just preparing for an assignment or exam on probabilities, solving dice probabilities worksheet is a good starting point. Not only does it introduce you to the basics of calculating probabilities, it’s also directly relevant to craps and board games. It's easy to figure out the probabilities for dice, and you can build your knowledge from the basics to complex calculations in just a few steps.

Benefits of Dice Probability Worksheets

The simplest case when you're learning through dice probability worksheets is that the chance of getting a specific number with one die. The basic rule for probability is that you calculate it by looking at the number of possible outcomes in comparison to the outcome you’re interested in. So for a die, there are six faces, and for any roll, there are six possible outcomes. There is only one outcome you’re interested in, no matter which number you choose.

The formula you use is: Probability = Favourable Outcome / Total outcome .

Download Dice Probability Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

  • Rolling Dice Probability Worksheet

Practice different types of rolling dice probability questions like probability of rolling a die, probability for rolling two dice simultaneously and probability for rolling three dice simultaneously in rolling dice probability worksheet.

1. A die is thrown 350 times and the score of 6 is obtained 28 times. Find the probability of 

(i) getting the score of 6 

(ii) getting a score under 6.

2. A die is rolled 500 times and the frequencies of the scores obtained are given below.

Find the probability of getting each score. Verify if their sum is 1.

3. Write down the total number of possible outcomes when the following experiment is done.

(i) A die is rolled

(ii) Two dices are rolled simultaneously.

4. A die is rolled at random. Write the number of favourable outcomes for the following events:

(i) getting a number less than 5

(ii) getting a prime number.

5. Two coins are tossed simultaneously. Write the number of favourable outcomes for the following events:

(i) getting at least one tail

(ii) getting tail

6. Fill in the blanks.

(i) A die is rolled at random. The probability of getting 2 is ....... .

(ii) A die is rolled at random. The probability of not getting 4 is ....... .

7. A die is rolled once. Find the probability of getting

(i) the number 5

(ii) an odd number

(iii) a number lying between 3 and 6

8. A die is rolled once. Find the probability that the number is

(ii) greater than 2

9. Two dice, one white and one red, are rolled together. Find the probability of getting

(i) a sum of 6

(ii) two different digits

(iii) a difference of 1.

Rolling Dice Probability Worksheet

Answers for the rolling dice probability worksheet are given below to check the exact answers of the above questions.

1.  (i) \(\frac{2}{25}\)

(ii) \(\frac{23}{25}\)

2.  \(\frac{3}{20}\), \(\frac{4}{25}\), \(\frac{17}{100}\), \(\frac{9}{50}\), \(\frac{21}{125}\), \(\frac{43}{250}\); Yes

3.  (i) 6

4.  (i) 4

5.  (i) 3

6.  (i) \(\frac{1}{6}\)

(ii) \(\frac{5}{6}\)

7.  (i) \(\frac{1}{6}\)

(ii) \(\frac{1}{2}\)

(iii) \(\frac{1}{3}\)

8.  (i) \(\frac{1}{2}\)

(ii) \(\frac{2}{3}\)

9.  (i) \(\frac{5}{36}\)

(iii) \(\frac{5}{18}\)

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Fun Probability Experiment with Dice {FREE}

Probability and statistics is such a unique branch of mathematics, and one that can easily cause confusion for students. If you’re looking for a fun and easy way to introduce concepts, you’ll love this probability experiment ! It’s part of my Math+Technology Series , and will help kids explore the differences between live, simulated and theoretical probability . All you need is the free probability lesson, a die and your graphing calculator!

Engage your kids with this fun probability experiment using dice! This is a great way to incoporate technology into your probability class, and compare live, simulated and theoretical probability. Get it free!

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Combining Technology and Probability

Today I want to share some ways you can use a graphing calculator to analyze data and investigate probability .

Probability can very quickly become overly abstract , causing kids to struggle to make sense of it. Using technology, however, we can help them “see” probability concepts by simulating experiments , or by letting a calculator calculate or graph the results.

This will help students better grasp the difficult abstract principles of probability and statistics, and give them a chance to think through implications on their own.

Probability Experiment with Dice

In this free lesson, students are exploring the chances of rolling a certain number on a single die. You may want to begin by having a discussion about it, asking what number they think will come up most frequently , and how they suggest testing their hypothesis .

Engage your kids with this fun probability experiment using dice! This is a great way to incoporate technology into your probability class, and compare live, simulated and theoretical probability. Get it free!

Then students can complete the investigation. They will need a 6-sided die to roll 60 times and then record their results in the table.

I like to use giant foam dice like these , but that’s totally optional. 😉

They then use a graphing calculator to find mean, standard deviation, median, quartiles and range for their data. ( Hints are given for how to easily do this with a calculator ).

They will also use their calculator to graph the data different ways and analyze the results.

Finally, they will use their calculator to simulate rolling a die, and compare those results to their initial data set.

This is such an interesting investigation, and provides lots of opportunities for math discussions ! If students are completing this in groups, you can also compare the data of the different groups to the calculator-simulated results.

Probability Lesson Extensions

A great follow-up activity would be to predict probability for each number when rolling two dice . How do the chances of each number change? You could even use this same set of questions to analyze and compare the probabilities of the numbers 1-12 .

Engage your kids with this fun probability experiment using dice! This is a great way to incoporate technology into your probability class, and compare live, simulated and theoretical probability. Get it free!

{Click HERE to go to my shop and grab the FREE Probability Experiment Handout!}

And don’t miss the rest of the Math+Technology Series:

  • Integer Multiplication Patterns with a Calculator
  • Exploring Systems of Equations with a Graphing Calculator
  • Data Analysis Lesson and Project
  • Estimating Area of Circles Investigation

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** Psst! This lesson is a sample from my Graphing Calculator Activities: Probability collection. See the complete collection of lessons here .**

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Probability of Rolling Dice Worksheet

Grade 7 math worksheets.

Welcome to the exciting world of probability! In this engaging worksheet, we will delve into the fascinating realm of rolling dice and explore the likelihood of various outcomes. Probability is a branch of mathematics that helps us understand the likelihood of events occurring, and what better way to illustrate this concept than with the familiar and unpredictable roll of dice?

As we embark on this journey, you will not only enhance your understanding of basic probability principles but also develop valuable skills in calculating and interpreting probabilities related to rolling dice. So, grab a pair of dice, sharpen your pencils, and let’s uncover the intriguing probabilities hidden within the randomness of each roll. Get ready to roll the dice and uncover the exciting world of probability!

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Probability of Rolling Dice - Grade 7 Math Worksheet PDF

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The probability of rolling dice worksheet is a document in your Google Drive that contains exercises and problems on the probability of rolling dice. It covers topics such as the probability of rolling a certain number on one die, the probability of rolling a certain sum on two dice, and the probability of rolling a certain combination of numbers on multiple dice.

The worksheet includes a variety of problems, from simple to challenging. For example, one problem asks you to find the probability of rolling a 7 on two dice. Another problem asks you to find the probability of rolling a pair of aces on two dice.

The worksheet also includes solutions to all of the problems. This makes it a valuable resource for students who are learning about the probability of rolling dice.

Here are some specific examples of problems from the worksheet:

  • Problem 1: What is the probability of rolling a 6 on a single die?
  • Solution: There is 1 out of 6 possible outcomes that result in a 6, so the probability is 1/6.
  • Problem 2: What is the probability of rolling a sum of 7 on two dice?
  • Solution: There are 6 possible outcomes that result in a sum of 7, so the probability is 6/36 = 1/6.
  • Problem 3: What is the probability of rolling a pair of aces on two dice?
  • Solution: There are 3 possible outcomes that result in a pair of aces, so the probability is 3/36 = 1/12.

The probability of rolling dice worksheet is a valuable resource for students who are learning about the probability of rolling dice. It provides a variety of exercises and problems to help students practice their skills. The worksheet also includes solutions to all of the problems, which makes it a self-contained learning tool.

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There are many benefits to using a probability of rolling dice worksheet.

Benefits for students:

  • Learn the basics of probability: Probability worksheets can help students learn the basics of probability, such as the concept of favorable outcomes, total outcomes, and the probability formula.
  • Apply probability to real-world situations: Dice worksheets provide students with opportunities to apply probability to real-world situations, such as games and gambling.
  • Develop problem-solving skills: Probability worksheets can help students develop their problem-solving skills by requiring them to think critically about different scenarios.
  • Improve their mathematical skills: Probability worksheets can help students improve their mathematical skills by requiring them to perform basic math operations, such as addition, subtraction, multiplication, and division.

Benefits for teachers:

  • Assess student understanding: Probability worksheets can be used by teachers to assess student understanding of probability concepts.
  • Provide differentiated instruction: Probability worksheets can be differentiated to meet the needs of all students. For example, more challenging worksheets can be provided to gifted students, while less challenging worksheets can be provided to students who need extra support.
  • Save time: Probability worksheets can save teachers time by providing them with ready-made activities that they can use in their classrooms.

Overall, probability of rolling dice worksheets are a valuable resource for both students and teachers. They can help students learn the basics of probability, apply probability to real-world situations, develop their problem-solving skills, and improve their mathematical skills. Teachers can use probability worksheets to assess student understanding, provide differentiated instruction, and save time.

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Probability of Rolling Dice Worksheet FAQs

What is the purpose of the probability of rolling dice worksheet.

The purpose of the probability of rolling dice worksheet is to help students learn about the probability of rolling dice. The worksheet includes a variety of exercises and problems that cover topics such as the probability of rolling a certain number on one die, the probability of rolling a certain sum on two dice, and the probability of rolling a certain combination of numbers on multiple dice.

Who can benefit from using the probability of rolling dice worksheet?

Students of all levels can benefit from using the probability of rolling dice worksheet. The worksheet includes a variety of problems, from simple to challenging, so students can find problems that are appropriate for their skill level. The worksheet is also a valuable resource for teachers who are looking for activities to help their students learn about probability.

How do you use the probability of rolling dice worksheet?

There are many ways to use the probability of rolling dice worksheet. Students can use it to practice their problem-solving skills, to learn about probability concepts, or to apply probability to real-world situations. Teachers can use it to assess student understanding, to provide differentiated instruction, or to save time.

What are some tips for completing the probability of rolling dice worksheet?

Here are some tips for completing the probability of rolling dice worksheet:

  • Read each problem carefully. Make sure that you understand what the problem is asking you to do before you start solving it.
  • Use a probability table to help you solve problems. A probability table can help you visualize the different outcomes of a situation and calculate the probability of each outcome.
  • Check your work. Once you have solved a problem, check your work to make sure that you got the correct answer.

If you are having trouble with a particular problem, you can ask your teacher for help.

Where can I find the probability of rolling dice worksheet?

You can find the probability of rolling dice worksheet in your Google Drive. It is located in the “Math Worksheets” folder.

probability worksheet dice rolling

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Dice Probability

Dice Probability - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are A pair of dice is pair of dice work, Roll the dice work, Sum of two dice probabilities a, Rolling dice probability activity, Statistics work sum of two dice probabilities, Probability work, Fair coin work, Probability.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

1. A pair of dice is rolled. Pair of Dice Worksheet

2. roll the dice worksheets, 3. sum of two dice probabilities (a), 4. rolling dice probability activity, 5. statistics worksheet -- sum of two dice probabilities, 6. probability worksheet, 7. fair coin worksheet, 8. probability.

probability worksheet dice rolling

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Probability with Dice

videolesson.JPG

  • The sample space is the list of all possible outcomes.
  • A dice has 6 sides which are all equally likely to be rolled.
  • Each side has a different number written on it.
  • We can roll a: 1, 2, 3, 4, 5 or a 6.
  • We say that the sample space for a dice is: 1, 2, 3, 4, 5, 6.
  • Probability is a measure of the chance of something happening.
  • We can write the probability of rolling a 3 as a fraction.
  • There are 6 different outcomes in total that we can roll.
  • So the fraction is out of 6.
  • Only one side of the dice is a ‘3’.
  • So the probability of rolling a three is   1 / 3   .
  • The number three makes up 1 out of 6 sides of the dice and on average will be rolled once every six rolls.

videolesson.JPG

  • We will write the probability of rolling an odd number on a dice as a fraction.
  • The odd numbers are 1, 3 and 5.
  • This is 3 of the 6 sides of the dice.
  • The probability of rolling an odd number on a dice is   3 / 6  .
  •   3 / 6   is the same as   1 / 2  
  • You can expect an odd number to be rolled half of the time.

videolesson.JPG

  • Shading Fractions of Shapes
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  • Finding Fractions of Amounts: Bar Model

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Dice Probability Worksheets and Answers

dice probability worksheet pdf

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Probability with Dice

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></center></p><h2>Probability with Dice worksheet</h2><p>Total reviews: (0), probability with dice worksheet description.</p><p>This worksheet gives learners the opportunity to practice writing probability as fractions confidently with the familiar theme of rolling a dice. Students will write the probability of single outcomes occurring as well as combined outcomes such as rolling a one or a two. Learners will need to be familiar with multiples, factors, primes, square numbers, and triangle numbers, as many questions include this language. Also included is a section where students will mark the probability of six outcomes occurring on a scale from 0 to 1. Encourage your students to simplify all their answers.</p><p>For more practice, see our worksheet Probability with a Deck of Cards</p><h2>Related to Probability with Dice worksheet:</h2><p>We love to get your feedback:, get 30 free math worksheets.</p><p>Fill out the form below to get 30 FREE math worksheets.</p><p>dice rolling probability</p><h2>All Formats</h2><p>Resource types, all resource types.</p><ul><li>Rating Count</li><li>Price (Ascending)</li><li>Price (Descending)</li><li>Most Recent</li></ul><h2>Dice rolling probability</h2><p><center><img style=

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Probabilities & Dice Roll Simulations in Spreadsheets

Dice

What is the probability of rolling any pair of numbers with two dice? Let’s first solve this and then confirm our calculated probability by simulating 500 dice rolls with a spreadsheet! In this post, we will focus on understanding basic probability concepts and then discover how with spreadsheets, we can actually see whether our calculated probability holds true!

Probability is the study of chance. We use the laws of probability to understand the chances of successful outcomes in our uncertain world. When approached with a question about probability, a good first step is to consider all possible results of observing the outcomes of a chance event. This collection of all these outcomes is also known as the sample space .

For instance, let’s consider the chance event of tossing a coin. The sample space of a random coin toss is Heads and Tails.

  << Related: Coin Flipping Life Experiment >> 

In the case of a throw of a single dice, the sample space is as follows: 1, 2, 3, 4, 5, and 6. When we consider the sample space for a pair  of dice, the sample space expands by six-fold. Take a look at the sample space below:

probability worksheet dice rolling

The sample space consists of 36 outcomes. Each outcome is equally likely, so the probability of each is 1/36. As shown above, we highlighted all those outcomes that are pairs, which occur 6 times. As such, the probability of rolling a pair of the same numbers is 6 x 1/36 or 6/36, which is equal to 1/6 .

Another way to think about this is as follows. The probability of Dice 1 rolling a 1 is 1/6. The probability of Dice 2 rolling a 1 is also 1/6. As such, the probability of both dice (dice 1 and  Dice 2) rolling a 1 is 1/36, calculated as 1/6 x 1/6. This probability of both dice rolling a 2 or 3 or 4 or 5 or 6 is also 1/36. So, the probability of rolling any pair can be computed as the sum of 1/36 + 1/36 + 1/36 + 1/36 +1/36 + 1/36 = 6/36 = 1/6 .

Does this really hold true? If we rolled the dice a very large number of time, can we expect this outcome would occur 1/6 time in the long run? Let’s use spreadsheets to find out!

In our spreadsheet below, we have two dice (an orange and a black one). We simulate random dice rolls 500 times and then make a note in the third column every time a pair of the same numbers is achieved! In the blue table to the right, we notice that indeed the observed probability is very close to our calculated probability of 1/6.

[googleapps domain=”docs” dir=”spreadsheet/pub” query=”key=0ArU-OSCYb_YpdFlGbUFuVFRUNU5zWUNhVnlfOGI4dFE&output=html&widget=true” width=”640″ height=”384″ /]

How did we simulate the dice roll? The RANDBET function allowed us to do just that! Once we set up the function for 1 pair of dice, we easily copied and pasted it 499 more times to simulate 500 times. As long as we add more rows to the spreadsheet, we could simulate as many dice rolls as we wish!

For a 3-minute video tutorial on the RANDBET function, please see: Randomize (RANDBET, RAND)

Dice Probability Calculator

Polyhedral dice, how to calculate dice roll probability, when to use dice probability calculator.

  • Should I play or should I pass? – Let's play a game!

The dice probability calculator is a great tool if you want to estimate the dice roll probability over numerous variants . There are many different polyhedral dice included, so you can explore the likelihood of a 20-sided die as well as that of a regular cubic die.

So, just evaluate the odds, and play a game! You'll also find short descriptions of each option in the text.

🔎 Don't you have any physical dice? No problem - try our dice roller calculator !

Everybody knows what a regular 6-sided die is, and, most likely, many of you have already played thousands of games where you used one (or more). But, did you know that there are different types of die ? Out of the countless possibilities, the most popular dice are included in the Dungeons & Dragons dice set , which contains seven different polyhedral dice:

  • 4-sided dice , also known as a tetrahedron — each face is an equilateral triangle;
  • 6-sided dice , a classic cube — each face is a square;
  • 8-sided dice , also known as an octahedron — each face is an equilateral triangle;
  • 10-sided dice , also known as a pentagonal trapezohedron — each face is a kite;
  • 10-sided dice counting from 00 to 90 in increments of 10 — used for percentile rolls in combination with the other 10-sided dice;
  • 12-sided dice , also known as a dodecahedron — each face is a regular pentagon; and
  • 20-sided dice , also known as an icosahedron — each face is an equilateral triangle.

💡 You can master your D&D strategy using Omni's point buy calculator 5e .

Don't worry, we take each of these dice into account in our dice probability calculator. You can choose whichever you like, and e.g., pretend to roll five 20-sided dice at once!

Well, the question is more complex than it seems at first glance, but you'll soon see that the answer isn't that scary! It's all about maths and statistics.

First of all, we have to determine what kind of dice roll probability we want to find . We can distinguish a few, which you can see in this dice probability calculator.

Before we make any calculations, let's define some variables which we'll use in the formulas. n – the number of dice, s – the number of individual die faces, p – the probability of rolling any value from a die, and P – the overall probability for the problem. There is a simple relationship – p = 1/s , so the probability of getting 7 on a 10-sided die is twice that of a 20-sided die.

The probability of rolling the same value on each die – while the chance of getting a particular value on a single die is p , we only need to multiply this probability by itself as many times as the number of dice. In other words, the probability P equals p to the power n , or P = p n = (1/s) n . If we consider three 20-sided dice, the chance of rolling 15 on each of them is: P = (1/20) 3 = 0.000125 (or P = 1.25·10 -4 in scientific notation). And if you are interested in rolling the set of any identical values — not just three 15s, but three of any number — you simply multiply the result by the total die faces: P = 0.000125 · 20 = 0.0025 .

The probability of rolling all the values equal to or higher than y – the problem is similar to the previous one, but this time p is 1/s multiplied by all the possibilities which satisfy the initial condition. For example, let's say we have a regular die and y = 3 . We want to rolled value to be either 6 , 5 , 4 , or 3 . The variable p is then 4 · 1/6 = 2/3 , and the final probability is P = (2/3) n .

The probability of rolling all the values equal to or lower than y – this option is almost the same as the previous one, but this time we are interested only in numbers that are equal to or lower than our target. If we take identical conditions ( s=6 , y=3 ) and apply them in this example, we can see that the values 1 , 2 , & 3 satisfy the rules, and the probability is: P = (3 · 1/6) n = (1/2) n .

The probability of rolling exactly X same values (equal to y ) out of the set — imagine you have a set of seven 12-sided dice, and you want to know the chance of getting exactly two 9s . It's somehow different than previously because only a part of the whole set has to match the conditions . This is where the binomial probability comes in handy. The binomial probability formula is:

P(X=k) = nCk · p k · (1-p) n-k ,

where k is the number of elements we want to select, and nCk is the number of combinations that fulfil this condition (also known as " n choose k ", or, alternatively as " n choose r ").

In our example we have n = 7 , p = 1/12 , k = 2 , nCk = 21 , so the final result is: P(X=2) = 21 · (1/12) 2 · (11/12) 5 = 0.09439 , or P(X=2) = 9.439% as a percentage.

🙋 You can find more information about this topic in our binomial distribution calculator .

The probability of rolling at least X same values (equal to y ) out of the set — the problem is very similar to the prior one, but this time the outcome is the sum of the probabilities for X=2, 3, 4, 5, 6, 7 . Moving to the numbers, we have: P = P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7) = 0.11006 = 11.006% . As you may expect, the result is a little higher. Sometimes the precise wording of the problem will increase your chances of success.

The probability of rolling an exact sum r out of the set of n s -sided dice — the general formula is pretty complex:

However, we can also try to evaluate this problem by hand. One approach is to find the total number of possible sums. With a pair of regular dice, we can have 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 , but these results are not equivalent !

Take a look; there is only one way you can obtain 2 : 1+1 , but for 4 , there are three different possibilities: 1+3 , 2+2 , 3+1 , and for 12 there is, once again, only one variant: 6+6 . It turns out that 7 is the most likely result with six possibilities: 1+6 , 2+5 , 3+4 , 4+3 , 5+2 , and 6+1 . The number of permutations with repetitions in this set is 36 . Our permutation calculator may be handy for finding permutations for other dice types. We can estimate the probabilities as the ratio of favorable outcomes to all possible outcomes: P(2) = 1/36 , P(4) = 3/36 = 1/12 , P(12) = 1/36 , P(7) = 6/36 = 1/6 .

The higher the number of dice, the closer the distribution function of sums gets to the normal distribution. As you may expect, as the number of dice and faces increases, more time is consumed evaluating the outcome on a sheet of paper. Luckily, this isn't the case for our dice probability calculator!

The probability of rolling a sum out of the set, not lower than X — like the previous problem, we have to find all results which match the initial condition and divide them by the number of all possibilities. Taking into account a set of three 10-sided dice, we want to obtain a sum at least equal to 27 . As we can see, we have to add all permutations for 27 , 28 , 29 , and 30 , which are 10, 6, 3, and 1, respectively. In total, there are 20 good outcomes in 1,000 possibilities, so the final probability is: P(X ≥ 27) = 20 / 1,000 = 0.02 .

The probability of rolling a sum out of the set, not higher than X — the procedure is precisely the same as for the prior task, but we have to add only sums below or equal to the target. Having the same set of dice as above, what is the chance of rolling at most 26 ? If you were to do it step by step, it would take ages to obtain the result (to sum all 26 sums). But, if you think about it, we have just worked out the complementary event in the previous problem. The total probability of complementary events is exactly 1 , so the probability here is: P(X ≤ 26) = 1 − 0.02 = 0.98 .

There are a lot of board games where you take turns to roll a die (or dice), and the results may be used in numerous contexts. Let's say you're playing Dungeons & Dragons and attacking. Your opponent's armor class is 17 . You roll a 20-sided dice, hoping for a result of at least 15 — with your modifier of +2. That should be enough. With these conditions, the probability of a successful attack is 0.30 . If you know the odds of a successful attack, you can choose whether you want to attack this target or pick another with better odds.

Or maybe you're playing The Settlers of Catan , and you hope to roll the sum of exactly 8 with two 6-sided dice, as this result will yield you precious resources. Just use our dice probability calculator, and you'll see the chance is around 0.14 — you'd better get lucky this turn!

Should I play or should I pass? – Let's play a game!

There are various types of games, like lotteries, where your task is to make a bet depending on the odds. Rolling dice is one of them. Although taking some risks is inevitable, you can choose the most favorable option and maximize your chances of a win. Take a look at this example.

Imagine you are playing a game where you have one of three options to choose from , which are:

  • The sum of five 10-sided dice is at least 30 ;
  • The sum of five 12-sided dice is at most 28 ;
  • The sum of five 20-sided dice is at least 59 .

You only win if the option you pick comes up. You can also pass if you feel none of these will happen. Intuitively, it's difficult to estimate the most likely success, but with our dice probability calculator, it takes only a blink of an eye to evaluate all the probabilities.

The resulting values are:

  • P 1 = 0.38125 for 10-sided dice;
  • P 2 = 0.3072 for 12-sided dice; and
  • P 3 = 0.3256 for 20-sided dice.

The probability for a pass to be successful is the product of the complementary events of the remaining options:

  • P 4 = (1-P 1 ) · (1-P 2 ) · (1-P 3 ) = 0.61875 · 0.6928 · 0.6744 = 0.2891 .

We can see that the most favorable option is the first one, while passing is the least likely event to happen. We cannot assure you'll win all the time, but we strongly recommend that you pick the 10-sided dice set to play.

What is a probability?

Probability determines how likely certain events are to occur . The simple formula for probability is the number of desired outcomes/number of possible outcomes . In board games or gambling, dice probability is used to determine the chance of throwing a certain number , e.g., what is the possibility of getting a specific number with one die?

How many possible outcomes are there from rolling two dice?

There are 36 outcomes when you throw two dice . For a single die , there are six faces, and for any roll, there are six possible outcomes . For two dice , you should multiply the number of possible outcomes together to get 6 × 6 = 36 . With subsequent dice, simply multiply the result by 6 . If you use dice of a different shape, enter the number of their sides instead of 6 .

When rolling 2 dice, what is the probability of 7?

It's 1/6 or 0.1666667 . Let's assume that a total of 7 occurs at least once . For 2 dice, there are 6 ways to throw the sum of 7 — (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) . The total number of combinations for a pair of cube dice is 36 . So the probability of summing up to 7 is 6/36 = 1/6 = 0.1666667 .

How many times do I throw 5 on a pair of dice?

20 . Let's assume that a pair of dice is rolled 180 times . You have 4 ways to get a sum of 5 — (1,4), (2,3), (3,2), and (4,1) . The probability of throwing a sum of 5 is 4/36 = 1/9 . The expected number in 180 throws is 180 × (1/9) = 20 . You will throw a sum of 5 at least 20 times .

Can I always roll a 6 on a dice?

No , it is always a matter of luck, but you can increase your chances by using some tricks:

  • Place your index finger and thumb on the numbers that are on opposite sides revealing 1 and 6 .
  • Throw the dice slowly and hope the dice rolls straight.

The trick is that you let the dice roll with the remaining numbers, creating a higher probability of landing on the number 6 .

False positive paradox

Standard deviation index.

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Roll One Dice Die Random Investigation Theoretical Probability Experiment Resource Bundle Pack

Roll One Dice Die Random Investigation Theoretical Probability Experiment Resource Bundle Pack

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Stewsterthebear's Shop

Last updated

1 June 2019

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All you need to have a lesson based on rolling one die and recording the outcomes.

I’ve done this activity as part of circus of many activities in a lesson (Other circus activities listed on my TES Resources pages) but you can make a whole lesson out of this depending on what you are trying to achieve.

Many different versions of the task sheets. Look at them all and decide on the best to suit your learners. Several different versions of Excel Spreadsheets to record the results on - including one which I can’t remember how it works (the RANDOM one).

If you find it useful please leave a helpful review.

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Get this resource as part of a bundle and save up to 63%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Probability Activity Investigation Bundle

A huge bundle of Probability resources for KS3 or Foundation GCSE. Individually they are either free or max £2. Combined total price is £14 before bundling so you are getting it for almost half price here. Many activities are game and investigation based to help understanding of principles and concepts. If you like please review and then check out my other resources in my shop.

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IMAGES

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    Answers for the rolling dice probability worksheet are given below to check the exact answers of the above questions. Answers. 1. (i) 225 2 25. (ii) 2325 23 25. 2. 320 3 20, 425 4 25, 17100 17 100, 950 9 50, 21125 21 125, 43250 43 250; Yes. 3.

  3. PDF Rolling Dice Probability Activity

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  13. Probability with Dice Worksheet

    Probability with Dice worksheet description This worksheet gives learners the opportunity to practice writing probability as fractions confidently with the familiar theme of rolling a dice. Students will write the probability of single outcomes occurring as well as combined outcomes such as rolling a one or a two.

  14. Dice Rolling Probability Teaching Resources

    Rolling the Dice Theoretical and Experimental Probability. by. Black and White Math. $1.00. PDF. Students list the sample space of possible outcomes and sums when rolling two dice, and list the theoretical probability of each sum.Then, students roll two dice 36 times and record results.

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  18. PDF Probability Basics and Rolling the Dice Worksheet Notes

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  22. Roll One Dice Die Random Investigation Theoretical Probability

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