Use the sample space of Example 1, above, or one or more of your sample spaces in Problem 11 to answer the following questions.
(a) If there were more heads than tails, what is the probability of one tail?
(b) If two heads did not appear in succession, what is the probability of all tails?
(c) If the coins did not all fall alike, what is the probability that two in succession were alike?
(d) If Nt = number of tails, and Nh = number of heads, what is the probability that ∣Nh−Nt∣=1?
(e) If there was at least one head, what is the probability of exactly two heads?