An American roulette wheel has 38 slots with numbers 1 through 36, 0, and 00, as shown in the figure. Of the numbered slots, 18 are red, 18 are black, and 2—the 0 and 00—are 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. Define events B: ball lands in a black slot, and E: ball lands in an evennumbered 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).

c. Describe the event “B and E” in words. Then find the probability of this event.

d. Explain why P(B or E) ≠ P(B) + P(E). Then use the general addition rule to compute P(B or E).

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