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

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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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