A biased coin shows heads with probability on any single toss

MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability

Problem

A biased coin shows heads with probability 0.60.6 on any single toss. The coin is tossed 55 times. (i) Find the probability that no head appears in the 55 tosses. (ii) Hence compute the probability that at least one head appears in the 55 tosses. (iii) If the first toss is known to be a tail, determine the probability that at least one head appears in the remaining tosses.

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