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Two standard 6-sided dice are tossed. What is the probability that the sum of the numbers shown on the dice is a prime number? Express your answer as a common fraction.

 Sep 17, 2016
 #1
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The possible primes are ;

 

2, 3, 5, 7, 11

 

Probability of a 2  = 1/36

Probability of a 3 = 2/36

Probability of a 5 = 4/36

Probability of a 7  = 6/36

Probability of an 11  = 2/36

 

The sum of these probabilities = [1 + 2 + 4 + 6 + 2] / 36 =  15/36 =  5/12

 

 

cool cool cool

 Sep 17, 2016

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