Date: Feb 14, 2013 11:29 AM
Author: bacle
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

> 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.