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# Basic probabaility

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Four standard six-sided dice are to be rolled. What is the probability that the product of the numbers on the top faces will be prime? Express your answer as a common fraction.

Apr 6, 2020

#1
+932
+2

If four six-sided dice are rolled, then there are 6^4=1296 possible outcomes. Of those outcomes, the only way to get a prime number by multiplication is to have 3 of the numbers equal to 1 and the fourth number equal a prime.

1, 1, 1, 2
1, 1, 1, 3
1, 1, 1, 5
1, 1, 2, 1
1, 1, 3, 1
1, 1, 5, 1
1, 2, 1, 1

1, 3, 1, 1
1, 5, 1, 1
2, 1, 1, 1
3, 1, 1, 1
5, 1, 1, 1

Hope it helps!

Apr 6, 2020

#1
+932
+2

If four six-sided dice are rolled, then there are 6^4=1296 possible outcomes. Of those outcomes, the only way to get a prime number by multiplication is to have 3 of the numbers equal to 1 and the fourth number equal a prime.

1, 1, 1, 2
1, 1, 1, 3
1, 1, 1, 5
1, 1, 2, 1
1, 1, 3, 1
1, 1, 5, 1
1, 2, 1, 1

1, 3, 1, 1
1, 5, 1, 1
2, 1, 1, 1
3, 1, 1, 1
5, 1, 1, 1

Hope it helps!

HELPMEEEEEEEEEEEEE Apr 6, 2020
#2
+392
+1

yes it definitely does

Paresh  Apr 6, 2020