A gambler plays a dice game where a pair of fair dice are rolled
one time and the sum is recorded. The gambler will continue to
place $2 bets that the sum is 6, 7, 8, or 9 until she has won 7 of
these bets. That is, each time the dice are rolled, she wins $2 if
the sum is 6, 7, 8, or 9 and she loses $2 each time the sum is not
6, 7, 8, or...