A basket contains 10 red ball and 15 white ball out of which 3 red and 4 white balls are damaged If ...........

Quantitative Aptitude ( CCS) Probability

A basket contains 10 red ball and 15 white ball. out of which 3 red and 4 white balls are damaged. If two balls selected at random, what is the probability that either both are white balls or both are not damaged?

200/411

199/400

203/300

201/500

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Explanation:

P(A) = 15c2 / 25c2,
P(B) = 18c2 / 25c2
P(A∩B) = 11c2 / 25c2
P(A∪B) = P(A) + P(B) – P(A∩B)
=> (15c2 / 25c2)+( 18c2 / 25c2)-( 11c2 / 25c2)=406/600
==>203/300