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

Explanation

Let A denotes Apples and `O` denotes Oranges and it is given that there are 20 apples and 10 oranges.

Out of 20 apples 5 and 10 oгanges 3 are defective.


`P(A U B)=P(A)+P(B)-P(A cap B) `

`n(A)= (text{}^20 C_{2}) `

`P(A)=frac{ text{}^20 C_{2}}{ text{}^30 C_{2}} `

`n(B)= text{}^22 C_{2} `

`P(B)=frac{ text{}^22 C_{2}}{ text{}^30 C_{2}} `

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