Roulette: A Nevada roulette wheel has 38 pockets. Eighteen of them are red, eighteen are black, and two are green. Each time the wheel is spun, a ball lands in one of the pockets, and each pocket is equally likely. Part: 0 / 20 of 2 Parts Complete Part 1 of 2

(a) What is the probability that the ball lands in a red pocket

(b) If you bet on red on every spin of the wheel, you will lose more than half the time in the long run. Explin why this is so.

Question

Mathematics

Kaylen Sherman

25 August, 17:59

Roulette: A Nevada roulette wheel has 38 pockets. Eighteen of them are red, eighteen are black, and two are green. Each time the wheel is spun, a ball lands in one of the pockets, and each pocket is equally likely. Part: 0 / 20 of 2 Parts Complete Part 1 of 2

(a) What is the probability that the ball lands in a red pocket

(b) If you bet on red on every spin of the wheel, you will lose more than half the time in the long run. Explin why this is so.

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Answers (1)

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Sims · Answer 1

a.) 9/19

Step-by-step explanation:

Total number of pockets = 38.

Number of red pockets = 18

Number of Black pockets = 18

Number of green pockets = 2

a.) Probability of landing in a red pocket = 18/38 = 9/19.

b.) Since the number of red pockets is not up to half of the number of total pockets, that means if you bet on the red with every spin, you will definitely not win up to to half the times, that explains why you will lose more than half the number of times you bet on the red for each spin.