Problem I play the dice game 'craps' against 'Lucky' Pete Jay as follows. On each throw I throw two dice. If my first throw is 7 or 11, then I win and if it is 2, 3 or 12, then I lose. If my first...

Extracted text: Problem I play the dice game 'craps' against 'Lucky' Pete Jay as follows. On each throw I throw two dice. If my first throw is 7 or 11, then I win and if it is 2, 3 or 12, then I lose. If my first throw is none of these, I throw repeatedly until I score the same as my first throw, in which case I win, or I throw a 7, in which case I lose. What is the probability that I win?