Playing roulette An American roulette wheel has 38 slots

Chapter 7, Problem 7.37

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Playing roulette An American roulette wheel has 38 slots with numbers 1 through 36, 0, and 00 (see Figure 7.4). On the wheel, 18 of the numbered slots are red, 18 are black, and twothe 0 and 00are green. When the wheel is spun, a metal ball is dropped onto the middle of the wheel. If the wheel is balanced, the ball is equally likely to settle in any of the numbered slots. Imagine spinning a fair wheel once. Let event B 5 ball lands in a black slot and event E 5 ball lands in an even-numbered slot. (Treat 0 and 00 as even numbers.) (a) Make a two-way table that displays the sample space in terms of events B and E. (b) Find P(B) and P(E). Show your method clearly. (c) Describe the event B and E in words. Th en fi nd P(B and E). Show your work. (d) Describe the event B or E in words. Th en fi nd P(B or E). Show your work.

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