Solved: Suppose that a coin is tossed three times and the

Chapter 9, Problem 9.15

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Suppose that a coin is tossed three times and the side showing face up on each toss is noted. Suppose also that on each toss heads and tails are equally likely. Let HHT indicate the outcome heads on the rst two tosses and tails on the third, THTtheoutcometailsontherstandthirdtossesandheads on the second, and so forth. a. List the eight elements in the sample space whose outcomes are all the possible headtail sequences obtained in the three tosses. b. Write each of the following events as a set and nd its probability: (i) The event that exactly one toss results in a head. (ii) The event that at least two tosses result in a head. (iii) The event that no head is obtained.