Chapter 16, Problem 37E

An honest coin is tossed three times in a row. Find the probability of each of the following events. (Hint: Do Exercise 11 first.)

a. $E_1$ : “the coin comes up heads exactly twice.”

b. $E_2$ : “all three tosses come up the same.”

c. $E_3$: “exactly half of the tosses come up heads.”

d. $E_4$: “the first two tosses come up tails.”