Arithmetic Ability
 Probability

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Q.

A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?

View Answer

Correct choice: C

Explanation:

n(s)=30C2 Let A be the event of getting two oranges and B be the event of getting two non-defective fruits. and (A∩B) be the event of getting two non-defective oranges ∴ P(A)=20C2/30C2, P(B)=22C2/30C2 and P(A∩B)=15C2/30C2 ∴P(A∪B)=P(A)+P(B)−P(A∩B) = 20C2/30C2+22C2/30C2−15C2/30C2=316/435
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