Throw a dice?

[fireflybob]

Can anyone out there help with this one:-

David and Brian are serving a prison sentence for chewing gum in public in Singapore. They share a cell and spend their days rolling dice to pass the time. They each have one die. They both are so worn out however, that only three sides are visible. David's die shows only the sides 2, 4 and 5. Brian's die shows only 1, 3 and 6. If their game awards the winner who rolls the highest number each time, who will win most often over the long run?

Thanks for any help.

[dr b]

I assume that if either die shows up as blank, it's a tie. therefor ethere are 9 possible outcomes to a toss:

Brian David winner
1 2 d
1 4 d
1 5 d
3 2 b
3 4 d
3 5 d
6 2 b
6 4 b
6 5 b


as you can see d (David) wins 5 of 9 times. Since each toss is equally likely to occur, David will win more in the long run.

[dr b]

does this game help pass the time between canings?

[fireflybob]

dr b thanks!