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Math Forum » Discussions » sci.math.* » sci.math.independent

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

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David C. Ullrich

Posts: 21,553
Registered: 12/6/04
Re: probability question about the dice game
Posted: Feb 14, 2013 9:53 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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".

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