About tossing coins. The event we want to analyze is getting two heads in a row; once that happens, we stop flipping. For n = 1 to n = 9, compute the probability that we stop after exactly n flips. Note that the two heads need to be consecutive; for n = 3, for instance, you would not stop after flipping HTH. Look for patterns in the probability fractions. However, unless you prove the pattern, you need to list all the sequences of flips to justify your answers.

Probability