Date: Feb 14, 2013 9:53 AM
Author: David C. Ullrich
Subject: Re: probability question about the dice game

On 14 Feb 2013 15:50:27 +0200, Jussi Piitulainen
<jpiitula@ling.helsinki.fi> wrote:

>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

Cool.

>I'd say her odds are 505 for and 791 against. I hope my gambling
>vocabulary is not too far off.


The terminology would be "her odds of winning are 505 to 791".