Mathematics

Mathematics

Problem

A biased coin shows head with probability 0.60.6 on every toss. The coin is tossed 55 times. Use this information to answer the following: a. (i) Find the probability that all five tosses result in head. b. (ii) Find the probability that the first two tosses are head and the remaining three are tail, in that order. c. (iii) Find the probability of getting exactly three heads in the five tosses. d. (iv) Find the probability of getting at least one head in the five tosses.

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