bacle
Posts:
838
From:
nyc
Registered:
6/6/10


Re: probability question about the dice game
Posted:
Feb 14, 2013 11:29 AM


> starwayinc@gmail.com writes: > > > two players Ann and Bob roll the dice. each rolls > twice, Ann wins if > > her higher score of the two rolls is higher than > Bobs, other wise > > Bob wins. please give the analyse about what is the > probability that > > Ann will win the game > > > > Because > > >>> from itertools import product > >>> die = {1,2,3,4,5,6} > >>> dice = set(product(die, die, die, die)) > >>> sum(int(max(a,b) > max(c,d)) for a,b,c,d in > in dice) > 505 > >>> sum(int(max(a,b) <= max(c,d)) for a,b,c,d in > in dice) > 791
Good thing you're not in the U.S , or you'd get in trouble for writing die,die,die,die. At least don't write something like 'you bastard' after the four dies. > > I'd say her odds are 505 for and 791 against. I hope > my gambling > vocabulary is not too far off.

