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Chapter 6: Q.7 (page 408)

In the Japanese game show Sushi Roulette, the contestant spins a large wheel that鈥檚 divided into 12 equal sections. Nine of the sections have a sushi roll, and three have a 鈥渨asabi bomb.鈥� 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鈥檚 divided into 12 equal sections. Nine of the sections have a sushi roll, and three have a 鈥渨asabi bomb.鈥� 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鈮�3)=1鈭�[P(X=1)+P(X=2)]

=0.5625

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Most popular questions from this chapter

86.1in 6wins As a special promotion for its 20-ounce bottles of soda, a soft drink company printed a message on the inside of each cap. Some of the caps said, 鈥淧lease try again,鈥� while others said, 鈥淵ou鈥檙e a winner!鈥� The company advertised the promotion with the slogan 鈥�1in6wins a prize.鈥� Suppose the company is telling the truth and that every 20-ounce
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