SOLUTION: A box of 25 chocolate candies contains 8 dark chocolate, 7 caramel and 10 with nuts. Take 4 candies from the box without replacement. Find the probability that exactly 2 are dark

Algebra ->  Permutations -> SOLUTION: A box of 25 chocolate candies contains 8 dark chocolate, 7 caramel and 10 with nuts. Take 4 candies from the box without replacement. Find the probability that exactly 2 are dark       Log On


   



Question 1139227: A box of 25 chocolate candies contains 8 dark chocolate, 7 caramel and 10 with nuts.
Take 4 candies from the box without replacement. Find the probability that exactly 2 are dark
chocolate and 2 are caramels. Write your answer as an exact fraction; no need to simplify.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
25C4 are the number of possible choices of 4 from 25
8C2 are the number of ways to choose 2 dark chocolates from 8
7C2 are for caramel
The fraction is 8C2*7C2/25C4
This is 28*21/12650
=588/12650