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An urn contains 8 white and 4 red balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are white ? Select the correct answer from above options

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Let A and B denote respectively the events the first and second balls both drawn are white. Then, we have to find `P(A nn B)`. Now, `P(A)=P` (white ball in the first drawn) `=8/12` After the occurrence of events A, we are left with 7 white and 4 red balls. The probability of frawing second white ball, given that the first ball drawn is white, is clearly the conditional probability of occurrence of B, given that A has occurred. `:. P(B//A)=7/11`. By multiplication rule of probability, we have `P(A nn B)=P(A).P(B//A)=(8/12xx7/11)=14/33`. Hence, the required probability is `14/33`.

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