# Dice Probabilities

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## 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.

## Summary

Areas of Science
Difficulty

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

## 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?

### 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

## Materials and Equipment

• 3 ten-sided dice
• 5 six-sided dice

## 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?

## Ask an Expert

Do you have specific questions about your science project? 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.

## Variations

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

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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, 20 Nov. 2020, https://www.sciencebuddies.org/science-fair-projects/project-ideas/Math_p001/pure-mathematics/dice-probabilities. Accessed 27 Feb. 2024.

#### APA Style

Science Buddies Staff. (2020, November 20). Dice Probabilities. Retrieved from https://www.sciencebuddies.org/science-fair-projects/project-ideas/Math_p001/pure-mathematics/dice-probabilities

Last edit date: 2020-11-20
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