Date: Feb 14, 2013 8:50 AM
Author: Jussi Piitulainen
Subject: Re: probability question about the dice game
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 dice)

505

>>> sum(int(max(a,b) <= max(c,d)) for a,b,c,d in dice)

791

I'd say her odds are 505 for and 791 against. I hope my gambling

vocabulary is not too far off.