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Recitation 5 Solutions

# Recitation 5 Solutions - Steven Weber Dept of ECE Drexel...

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Steven Weber Dept. of ECE Drexel University ENGR 361: Statistical Analysis of Engineering Systems (Spring, 2010) Recitation 5 (Friday, April 30) Roulette is a game found in many casinos. The roulette wheel is divided into 38 slots, numbered 0 , 00 , 1 , 2 , 3 , . . . , 35 , 36 . Of the numbers 1 , 2 , 3 , 4 , . . . , 36 there are 18 numbers colored red and 18 numbers colored black. The two slots num- bered 0 and 00 are colored green. To play, the dealer spins the wheel very fast, then drops a small ball onto the wheel, and the wheel comes to rest at one of the numbers. While the ball is spinning, gamblers place bets on where the ball will come to rest. Bets include the number and color of the final slot, and many others. Our gambler plays roulette with the following strategy. Each time the wheel spins she places a bet that the color of the final slot is red. Her chance of winning is 18 / 38 . She uses the following betting strategy: She initially bets \$ 1; After each loss she doubles her bet. Thus if she bet \$ 4 and lost, then her next bet is \$ 8.
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