20 Oct '05 20:081 edit

A group of n players are rolling to see who goes first in a Monopoly game by throwing 2 evenly weighted 6-sided dice. Which roll (total score) is most likely to be the winning roll if there are:

(a) 4 players?

(b) 10 players?

(c) 25 players?

(For clarification, if you ran the game 1,000,000 times, which roll would be expected to appear as the winner the most number of times? HINT: The bigger the roll, the more likely it is to win, but the less likely it is to come up in the first place.)

(a) 4 players?

(b) 10 players?

(c) 25 players?

(For clarification, if you ran the game 1,000,000 times, which roll would be expected to appear as the winner the most number of times? HINT: The bigger the roll, the more likely it is to win, but the less likely it is to come up in the first place.)