NDA Government Jobs Exams

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

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NDA Other Question

If A and B are any two events such that P(A) = 0.4, P(B) = 0.3, P(A ∪ B) = 0.9, then what is the value of
P(A ∪ B) equal to ? If X follows a binomial distribution with parameters n = 100 and p = 1/3, then P(X = r) is maximum when