# Dice Probabilities

Create Announcement

This feature requires that you be logged in as a Google Classroom teacher and that you have an active class in Google Classroom.

 Difficulty Time Required Average (6-10 days) Material Availability Readily available Cost Very Low (under \$20) Safety No issues

## Abstract

You're playing Monopoly with a friend, and you've already got Park Place and you really, really want to get Boardwalk. If you're on Pacific Avenue, what are the chances you'll reach your goal? Here's an easy project that will show you how to find out.

## Objective

The purpose of this project is to test the probabilities of rolling certain combinations of dice in roll-playing games. Are you more likely to roll a sum of at least 18 with 3 ten-sided dice or 5 six-sided dice?

## Share your story with Science Buddies!

General citation information is provided here. Be sure to check the formatting, including capitalization, for the method you are using and update your citation, as needed.

### MLA Style

Science Buddies Staff. "Dice Probabilities." Science Buddies, 19 Mar. 2018, https://www.sciencebuddies.org/science-fair-projects/project-ideas/Math_p001/pure-mathematics/dice-probabilities?class=AQU6JrzAlWsyLSMggxmGTvW2d6SuGYSjd2oywnEG0EQOblC5fwZl_I3nzUl5DDzp_UNVT1HQefdpTGhSxYta5K1fEIKfZhzO3VsvUkLAOjws_Q. Accessed 18 July 2019.

### APA Style

Last edit date: 2018-03-19

## Terms and Concepts

In order to properly do this experiment, you will need to understand the basics of probability theory.

## Bibliography

This site specifically talks about applying probability theory to rolling dice:
http://mathforum.org/library/drmath/view/56498.html

## News Feed on This Topic

, ,
Note: A computerized matching algorithm suggests the above articles. It's not as smart as you are, and it may occasionally give humorous, ridiculous, or even annoying results! Learn more about the News Feed

## Materials and Equipment

• 3 ten-sided dice
• 5 six-sided dice

## Remember Your Display Board Supplies

 Poster Making Kit ArtSkills Trifold with Header Poster Lights

## Experimental Procedure

Procedures:
• Roll each combination of dice 100 times.
• Record the results of each roll.
• Determine the probability of getting a sum higher than 18 for each combination of dice when rolling each combination 100 times.
• Which combination has a higher probability and was this true when you rolled them?

## If you like this project, you might enjoy exploring these related careers:

### Statistician

Statisticians use the power of math and probability theory to answer questions that affect the lives of millions of people. They tell educators which teaching method works best, tell policy-makers what levels of pesticides are acceptable in fresh fruit, tell doctors which treatment works best, and tell builders which type of paint is the most durable. They are employed in virtually every type of industry imaginable, from engineering, manufacturing, and medicine to animal science, food production, transportation, and education. Everybody needs a statistician! Read more

### Actuary

Life is full of risks to both people and property. Actuaries predict the chances that future negative events will occur in a person's life, and then think of ways to reduce those chances, or reduce the impact of those negative events. Actuaries help bring peace of mind to both families and to businesses. Read more

### Math Teacher

Math teachers love mathematics and understand it well, but much more than that, they enjoy sharing their enthusiasm for the language of numbers with students. They use a variety of tools and techniques to help students grasp abstract concepts and show them that math describes the world around them. By helping students conquer fears and anxieties about math, teachers can open up many science and technology career possibilities for students. Teachers make a difference that lasts a lifetime! Read more

## Variations

Test the probabilities of getting 21 using a deck of cards.

## Share your story with Science Buddies!

The Ask an Expert Forum is intended to be a place where students can go to find answers to science questions that they have been unable to find using other resources. If you have specific questions about your science fair project or science fair, our team of volunteer scientists can help. Our Experts won't do the work for you, but they will make suggestions, offer guidance, and help you troubleshoot.

## News Feed on This Topic

, ,
Note: A computerized matching algorithm suggests the above articles. It's not as smart as you are, and it may occasionally give humorous, ridiculous, or even annoying results! Learn more about the News Feed

## Looking for more science fun?

Try one of our science activities for quick, anytime science explorations. The perfect thing to liven up a rainy day, school vacation, or moment of boredom.