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4. A standard roulette wheel has numbers 1 through 36 alternately colored red and black. It also has a green 0 and

a green 00 called "double zero." The wheel is spun with a small white ball inside. When the wheel stops, the ball falls into a numbered slot, white determines the winners. Successive spins of a wheel yield independent results. There are many wagers you can place at the roulette table. For example, you may bet on the color, or on whether the number is odd or even, or on a single number. Note that, even though 0 is in fact an even number, in roulette both 0 and 00 count an neither odd nor even.

a) Lenora is playing roulette, and she bet a dollar on the number 10. If 10 comes up her win $35(profit). If anything else comes up, she lose her dollar. What is her expected value for this bet? ______________


b) If she bet $1 on an even number, she win $1 (profit) if any of the even numbers 2 through 36 come up, and she lose her dollar if 0, 00, or any odd number between 1 and 35 comes up. What is her expected value for this wager? ________________

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a) Lenora is playing roulette, and she bet a dollar on the number 10. If 10 comes up her win $35(profit). If... View the full answer

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a) E [ x ] = x p ( x ) = 3 5 ( 3 8 1 ) + ( 1 ) 3 8 3 7 = 3 8... View the full answer

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