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An American roulette wheel has 38 slots, of which 18 are black, 18 are red, and

ID: 3240056 • Letter: A

Question

An American roulette wheel has 38 slots, of which 18 are black, 18 are red, and 2 are green. When the wheel is spun, the ball is equally likely to come to rest in any of the slots. Gamblers bet on the roulette by placing chips on a table that lays out the numbers and colors of the 38 slots in the roulette wheel. The red and black slots are arranged on the table in three columns of 12 slots each. A $1 column bet wins $3 if the ball lands in one of the 12 slots in that column.

Fill in the blank: The expected amount you win in a column bet is $___. (Give your answer to four decimal places.)

Explanation / Answer

expected amount you win in a column bet is =won amount* probability of winnning =3*(12/38) =$0.9474

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