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Two marbles are drawn successively from a box containing 3 black and 4 white marbles. Find the probability that both the marbles are black if the first marble is not replaced before the second draw. Select the correct answer from above options

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Given: A box containing 3 black and 4 white marbles .Each trail is independent of the other trial. Hence the sample space is given by S = {1B,2B,3B,1W,2W,3W,4W} To find: the probability that both the marbles are drawn are black. Let , success : marble drawn is black.i.e 3 7 Now , the Probability of success in the first trial is P1(success) = 3 7 Probability of success in the second trial without replacement of the first draw is given by P2(success) = 2 6 Hence , the probability that both the marbles are drawn are black ,with each trial being independent is given by

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