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What is the probability that if you roll two fair, standard six-sided dice, the difference between the two numbers rolled will be 0? Express your answer as a common fraction.

 Aug 12, 2020
 #1
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The first die can be anything.  There's a 1/6 chance that the second die will match it. 

 

Another way of saying it is that there are 36 possible combinations.  Six of them are doubles.  6/36 = 1/6 

 

1,1   1,2   1,3   1,4   1,5   1,6  

2,1   2,2   2,3   2,4   2,5   2,6  

3,1   3,2   3,3   3,4   3,5   3,6  

4,1   4,2   4,3   4,4   4,5   4,6  

5,1   5,2   5,3   5,4   5,5   5,6  

6,1   6,2   6,3   6,4   6,5   6,6 

 

.

 Aug 12, 2020
 #2
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Thank you very much!

 Aug 12, 2020

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