A Math Forum Project

Technology Problem of the Week Logo Challenging problems based on our Problems of the Week that take advantage of interactive 
math tools

_________________________________
MathTools || All Problems of the Week
_________________________________

Print This Problem

240: Dice Sums

If you roll a pair of dice 100 times, and each time add the two outcomes, what will be the sum that appears the most often? For example, about how many times do you think the sum will be 2? 3? 4? 5? 6? 7? 8? 9? 10? 11? 12?
  1. Make a prediction.
  2. Test to see if your hypothesis was correct. Use the following site http://www.shodor.org/interactivate/activities/ExpProbability/ to help you gather the information.
  3. Try the experiment five times to see if you notice any patterns. Which sums appear most often? Here is a sample spreadsheet [dice_sums.xls] that you may use after listing all the possible outcomes. What pattern do you notice when listing the favorable outcomes?
  4. What do you notice about the results each time you tried the experiment?
  5. Was your prediction correct?

For further exploration: If you used three dice instead of two, what do you think would be the sums that would occur most frequently? Give evidence to support your conclusion. (You may want to make a list of all possible outcomes.)

Submit your answer to  "Dice Sums"

If you are under 13, you must have permission from your parent or teacher to participate in this web project. You will be asked to provide the email address of your parent or teacher when you register. At any time, parents or teachers may request that we remove personal information by writing to removal@mathforum.org or by contacting us via postal mail or telephone (800-756-7823).

[Privacy Policy] [Terms of Use]

_____________________________________
Math Forum Home || Math Library || Quick Reference || Math Forum Search
_____________________________________

© 1994-2009 Drexel University. All rights reserved.
http://mathforum.org/
Contact the Problem of the Week administrators
The Math Forum is a research and educational enterprise of the Drexel School of Education.The Math Forum is a research and educational enterprise of the Drexel School of Education.