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Three six-sided dice are rolled. Find the probability that the product of three numbers rolled is a prime number.

 Jun 6, 2020
 #1
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nvm - I read the question wrong

 Jun 7, 2020
edited by Guest  Jun 7, 2020
 #2
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By definition of a prime, the only possible products that result in a prime require two of the dice to be 1 and the other a prime.  So the possibilities are :

1 1 2, 1 2 1, 2 1 1    

1 1 3, 1 3 1, 3 1 1

1 1 5, 1 5 1, 5 1 1

 

9 possibilities out of a total of 216 possible throws.  So probability = 9/216 

 Jun 7, 2020

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