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

 Messages: [ Previous | Next ]
 Jussi Piitulainen Posts: 355 Registered: 12/12/04
Re: probability question about the dice game
Posted: Feb 14, 2013 8:50 AM

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

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

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