SOLUTION: Suppose that you have a barrel with 5 apples and 8 oranges in it. If 3 fruits are selected, what is the probability you select exactly 2 apples?

Question 1190900: Suppose that you have a barrel with 5 apples and 8 oranges in it. If 3 fruits are selected, what is the probability you select exactly 2 apples?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

(1) Solving by an elementary method -- which is useful for gaining an understanding of basic probability....

P(apple,apple,orange) =
P(apple,orange,apple) =
P(orange,apple,apple) =

P(2 apples and 1 orange) =

(2) Solving by a more sophisticated method of combinatorics....

The good outcomes are when you choose 2 of the 5 apples and 1 of the 8 oranges; the total number of possibilities is when you choose any 3 of the 13 fruits.

P(2 apples and 1 orange) =

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