Roulette 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 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).

(c) Describe the event “B and E” in words. Then find P(B and E).

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

Transcribed Image Text:

7 11 30 26 9 28 0 2 14 35 23 4 16 6 18 31 19 1 13 36 00 8 12 29 25 10