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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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It is given that a box contains 3 black and 4 white marbles where each trial is independent of the other Sample space S = {1B, 2B, 3B, 1W, 2W, 3W, 4W} Consider success marble drawn is black = 3/7 So the probability of success in the first trial P1 (success) = 3/7 Consider probability of success in the second trial without replacement of the first draw P2 (success) = 2/6 So the probability that both the marbles drawn are black, with each trial being independent

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