Problem of the Month - March 2025

You roll a fair six sided die twice.  Your score is whichever roll was higher.  For example, if you rolled a 4 and then a 3, your score would be 4.  What is the probability that your score will be 5?  

 

Solution:  If you roll a six sided die twice, there are 36 possible outcomes.  The ones that would result in a score of 5 are:

1,5

2,5,

3,5

4,5

5,5

5,4

5,3

5,2

5,1

Therefore you have a 9/36 or 1/4 chance of getting a score of 5.  

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