You are playing a game where the caller rolls two dice and tells you the numbers, and you have to make the numbers on your card by adding, subtracting, multiplying or dividing the two numbers on the dice. You can make more than one number with each pair of dice; eg if the caller rolls a 6 and a 5 you could make 1, 11 & 30 in the same go.

What would be the best six positive integers to have on your card to have the best chance of winning?

(In reply to Solution by Dan)

I'm sure the idea is not to have just one number come up, but a whole row of them. Some might interpret this as all the six numbers chosen, but I think it refers to an ordinary 5x5 bingo card with 24 numbers printed (free space in the middle), and the six are what you would never want to have missing from your card.

Second, zero is not a positive integer as it's neither positive nor negative.

Third, There are only 6 ways that the numbers can come out equal on the two dice, and that's the only way to get zero.

Posted by Charlie on 2003-07-23 16:33:20