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a is chosen from the set {1,2,3,4}, and b is chosen from the set {5,6,7,8,9,10}. What is the probability that the product ab is a prime number?

 Nov 13, 2021
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You have a total of: 4  x  6 ==24 products

 

Since a prime is only divisible by 1 and itself, it therefore follows that can you only have: 

 

1  x  5 ==5   and   1  x  7==7

 

Therefore, the probability is:  2 / 24 ==1 / 12

 Nov 14, 2021

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