SOLUTION: Six 6-sided dice are rolled. What is the probability that three of the dice show prime numbers and the rest show composite numbers?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Six 6-sided dice are rolled. What is the probability that three of the dice show prime numbers and the rest show composite numbers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1033476: Six 6-sided dice are rolled. What is the probability that three of the dice show prime numbers and the rest show composite numbers?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Now for any fair die, p(1) = 1/6, p%28prime%29+=+3%2F6+=+1%2F2, and p%28composite%29+=+2%2F6+=+1%2F3.
==> The probability that three of the dice show prime numbers and the rest show composite numbers is
%28matrix%282%2C1%2C6%2C3%29%29%2A%281%2F3%29%5E3%2A%281%2F2%29%5E3+=+5%2F54%0D%0A