Shooting craps 2
On average how many rolls does a craps game take if you:
a) win, b) lose and c) either win or lose?
Rules of craps: You use a pair of dice. You make a first roll (the “come-out”
roll). If you get a 7 or 11 (a “natural”) you win. If you get 2, 3 or 12
(“craps”), you lose. If you roll 4, 5, 6, 8, 9 or 10 then that sets a target number
(the “point”); you then proceed to roll until you either roll the point again (and
win) or you roll a 7 (and lose). If you roll any other number, you just roll again.
Blame Cazayoux and Ragknot for this one
See http://trickofmind.com/?p=1227#comment-7667 for actual probabilities.
But I’ll put them in the first comment.