Brain Game: Wouldn't It Be Dice?
Today's Brain Game involves good, old-fashioned six-sided dice. If you rollÂ a singleÂ die, you haveÂ the sameÂ chance of rolling a 1 as you do rolling a 2, 3, 4, 5, or 6. The numbers change with multiple dice, however, as we'll see. Good luck:
A friend bets you that he can roll a total of 10 with three dice
more often than you can rollÂ a total ofÂ 8Â with only two dice.
Do you take the bet?
Yes, it's smart to take the bet.
With any given toss of the dice, your friend's odds ofÂ rolling a total of 10 with three dice are 1 in 8.
Your odds of rolling a total ofÂ 8 with two diceÂ are a bitÂ better (1 in 7.2).