Brain Game: Wouldn't It Be Dice?

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Today's Brain Game involves good, old-fashioned six-sided dice. If you roll a single die, you have the same 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 roll a total of 8 with only two dice. Do you take the bet?

Here is the ANSWER.

THE SOLUTION:

Yes, it's smart to take the bet.

With any given toss of the dice, your friend's odds of rolling a total of 10 with three dice are 1 in 8.
Your odds of rolling a total of 8 with two dice are a bit better (1 in 7.2).

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