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Two fair six-sided dice are rolled. What is the probability that the product of the two numbers is a composite number?

Pls answer as a common fraction.

 

I thought it was 5/6, but it was wrong. Here is my reasoning:

probability the product is NOT composite= rolling 1 on one dice and 2, 3, 5 on the other.

36 different possibilities.

You can roll 1 on dice num. 1 or dice num. 2 

(2x3)/36different possibilities

1-1/6=5/6

;-;

 May 6, 2020
edited by Guest  May 6, 2020
 #1
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The answer=29/36

You can roll 1 on dice num. 1 and 1 on dice num. 2

 May 6, 2020

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