# math

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In rolling a pair of dice, suppose you win \$5 if the sum is 10 but lose \$2 if the roll is "doubles." If the price to play is \$1, would it be a fair game? Justify your answer.

• math -

The probability of throwing a "10" with a pair of dice is 3/36 = 1/12. The probability of throwing "doubles" is 6/36 = 1/6.

Probable gain for \$1 bet =
(1/12)*5 - (1/6)*2 = \$ 1/12

The game favors the bettor

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