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Topic: probability question about the dice game
Replies: 21   Last Post: Feb 18, 2013 2:47 PM

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Jussi Piitulainen

Posts: 317
Registered: 12/12/04
Re: probability question about the dice game
Posted: Feb 14, 2013 10:09 AM
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David C. Ullrich writes:

> On 14 Feb 2013 15:50:27 +0200, Jussi Piitulainen 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".


Thanks, that looks familiar. I'm sure I've also seen "for" (or maybe
"on") and "against" _somewhere_ in such expressions.



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