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Chapter 6: Q.7 (page 408)

In the Japanese game show Sushi Roulette, the contestant spins a large wheel that’s divided into 12 equal sections. Nine of the sections have a sushi roll, and three have a “wasabi bomb.” When the wheel stops, the contestant must eat whatever food is on that section. To win the game, the contestant must eat one wasabi bomb. Find the probability that it takes 3or more spins for the contestant to get a wasabi bomb. Show your method clearly

Short Answer

Expert verified

The probability is0.5625.

Step by step solution

01

Given information 

Given in the question that, In the Japanese game show Sushi Roulette, the contestant spins a large wheel that’s divided into 12 equal sections. Nine of the sections have a sushi roll, and three have a “wasabi bomb.” When the wheel stops, the contestant must eat whatever food is on that section. To win the game, the contestant must eat one wasabi bomb .

02

Explanation 

Given:

Number of trials (x)=3

Number of events (n)=12

Probability of success is:

p=xn

=312

=0.25

The probability of getting a wasabi bomb after three or more spins is determined as follows:

P(X≥3)=1−[P(X=1)+P(X=2)]

=0.5625

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Most popular questions from this chapter

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(a) It would be quite risky for you to insure the life of a 21-year-old friend under the terms of Exercise 14. There is a high probability that your friend would live and you would gain \(1250in premiums. But if he were to die, you would lose almost \)100,000. Explain carefully why selling insurance is not risky for an insurance company that insures many thousands of 21-year-old men.

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