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If X follows a binomial distribution with parameters n = 100 and p = 1/3, then P(X = r) is maximum when

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A fair coin is tossed repeatedly. The probability of getting a result in the fifth toss different from those
obtained in the first four tosses is Two numbers are successively drawn from the set U = {1, 2, 3, 4, 5, 6, 7, 8}, the second being drawn without
replacing the first. The number of elementary events in the sample is