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Dice Probabilities

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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.


Areas of Science
Time Required
Average (6-10 days)
Material Availability
Readily available
Very Low (under $20)
No issues


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.


This site specifically talks about applying probability theory to rolling dice:

Materials and Equipment

Experimental Procedure

  • 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?
icon scientific method

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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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