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9. In the American version of the game of roulette, a wheel consists of 38 slots...

9. In the American version of the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2, … , 36. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. A “street” bet is a bet on three consecutive numbers (e.g. 11, 12, and 13 – if the ball lands on any of these, the player wins). If the payout for a “street” bet is 11 to 1 (the original bet is returned, along with 11 times its value, so a $1 bet nets a profit of $11), what is the expected value of $1 “street” bet?

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