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

 
 Jun 4, 2021
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Assuming  numbers 1-10   are on each die.......

 

Each of  the die  have  (4/10)  probability of rolling a prime    2, 3, 5, or 7

 

So.....the probability  = 

 

C(4,3)  ( 4/10)^3  (6/10)  =     96 / 625  ≈  .1536  ≈   15.36%

 

cool cool cool

 
 Jun 4, 2021

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