Question

A standard roulette wheel has 38 numbered​ slots, which includes 18 black​ slots, 18 red​ slots,...

A standard roulette wheel has 38 numbered​ slots, which includes 18 black​ slots, 18 red​ slots, and 2 green slots. When the roulette wheel is spun and the ball is​ dropped, it can fall into any of the 38 spots randomly. Since there are 38 slots on the​ wheel, the chance that the ball will land on any one number is 1 in​ 38, or approximately 2.63 percent.

If you see the ball land on​ 7, then the probability that the ball will land on 7 on the next spin is​ ____________.

A.one fourth of 2.63 percent.

B.equal to 2.63 percent divided by 37.

C.2.63 percent.

D.half of 2.63 percent.

If you see someone gambling at the roulette table that has picked the number correctly five times in a​ row, would you advise her to increase the size of her bet since she is on a​ roll?

A.No, by increasing the size of the bet she would lower her odds of winning.

B.​No, each time she picks a number correctly the chances she will do it again on the next spin decrease significantly.

C.​No, each spin is​ independent, so previous success has no bearing on future success.

D.​Yes, each correct pick increases the probability that she will pick correctly again on the next spin.

Homework Answers

Answer #1

(1) Given that the chance that the ball will land on any one number is 1 in​ 38, or approximately 2.63 percent.

Each spin is random and independent of previous spin, so the probability of getting a seven on next spin, when the first spin gave us a seven is equal to 1 in 38 or 2.63%

option C is correct (C.2.63 percent.)

(2)

Given that the chance that the ball will land on any one number is 1 in​ 38, or approximately 2.63 percent.

Each spin is random and independent of previous spin, so the probability of getting the correct number on next spin, when we have five consecutive wins for a particular number, is equal to 1 in 38 or 2.63%

Therefore, next spin is not a high probability event, but it is equivalent to any other event or number on the spin. So, it is not advised to increase the bet amount

C.​No, each spin is​ independent, so previous success has no bearing on future success.

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