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

 Messages: [ Previous | Next ]
 David C. Ullrich Posts: 21,553 Registered: 12/6/04
Re: probability question about the dice game
Posted: Feb 14, 2013 9:53 AM

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".

Date Subject Author
2/14/13 Jussi Piitulainen
2/14/13 David C. Ullrich
2/14/13 Jussi Piitulainen
2/14/13 Paul
2/14/13 Paul
2/14/13 Jussi Piitulainen
2/14/13 Paul
2/14/13 quasi
2/15/13 David C. Ullrich
2/15/13 Paul
2/15/13 Paul
2/15/13 David C. Ullrich
2/14/13 bacle
2/18/13 Bacle H
2/14/13 RGVickson@shaw.ca
2/14/13 Jussi Piitulainen
2/14/13 RGVickson@shaw.ca
2/14/13 Jussi Piitulainen
2/14/13 quasi
2/15/13 Frederick Williams
2/14/13 RGVickson@shaw.ca