Suppose one flips a coin until two heads come up in a row. What is the outcome space 2, and what is P(A) for each A e ? Compute the chance that the coin is flipped more than 5 times. Hint: first compute the chance the coin is flipped less than or equal to 5 times. To do this enumerate all outcomes (sequences of heads and tails) that make this event true. Add up the probability of these outcomes, where the probability of each is ()* where k is the length of the sequence. Thus, a sequence HH has a probability of = while the sequence TH H has a probability of