A basket contains 20 apples and 10 oranges out of which 5 apple and 3orange are defective. If a person takes out 2 at random what is theprobability that either both are apples or both are good?

A basket contains 20 apples and 10 oranges out of which 5 apple and 3o

1.	A basket contains 20 apples and 10 oranges out of which 5 apple and 3orange are defective. If a person takes out 2 at random what is theprobability that either both are apples or both are good?
Answer» A: both are apples B: both are good `P(A)=(.^20C_2)/(.^30C_2)` `P(B)=(.^22C_2)/(.^30C_2)` `P(AnnB)=(.^15C_2)/(.^30C_2)` `P(AuuB)=P(A)+P(B)+P(AnnB)` `=(.^20C_2)/(.^30C_2)+(.^22C_2)/(.^30C_2)-(.^15C_2)/(.^30C_2)`.

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A basket contains 20 apples and 10 oranges out of which 5 apple and 3orange are defective. If a person takes out 2 at random what is theprobability that either both are apples or both are good?

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