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Harry rolls four fair 10-sided dice. What is the probability that exactly three of the dice show a prime number?

Thanks for help.

 Dec 27, 2021
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There are four prime numbers (2, 3, 5, 7) in the first 10 whole numbers.

 

The probability of rolling a prime is  4/10  and the probability of not rolling a prime is  6/10.

 

The probability that exactly three of the dice show a prime number is:

 

                      4C3 · (4/10)3 · (6/10)1

 Dec 27, 2021

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