Here we want to find the probability that an even number of heads has occurred after n tosses.
Let X = Number of heads occurred after n tosses.
Therefore, X follows binomial distribution with probability of getting head = p and total number of trials = n
For n = even, we have
Required probability = P(X = 0) + P(X = 2) + P(X = 4) + .....+P(X = n -2 ) + P(X = n)
For n = odd, we have.
Required probability = P(X = 0) + P(X = 2) + P(X = 4) + .....+P(X = n -3 ) + P(X = n - 1)
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Suppose...
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