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Mathematics, 03.07.2020 22:01 Leftie500

Chuck-a-luck is a game of chance in which 3 dice in a cage are tumbled. Bets can be placed on the values that the 3 dice will show. The table below shows the different bets and the amount won if $1 is wagered. Numbers bet Bet on a number from 1 through 6 if 1 die matches Pays $1 if 2 dice match Pays $2 if all 3 dice match Pays $10 Field bet Bet that the sum of the numbers showing on all 3 dice will be 5, 6, 7, 8, 13, 14, 15, or 16 Pays $1 Over 10 Bet that the sum of the numbers showing on all 3 dice will be more than 10 Pays $1 Under 11 Bet that the sum of the numbers showing on all 3 dice will be less than 11 Pays $1 Chuck-a-luck What is the probability that 2 (but not 3) dice will show a 6? (Enter your probability as a fraction.)

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