A television game show has 7 doors, of which the contestant must pick 2. Behind 2 of the doors are expensive cars, and behind the other 5 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins both cars. The probability is (Type an integer or a simplified fraction.)

A television game show has 7 doors, of which the contestant must pick 2. Behind 2 of the doors are expensive cars, and behind the other 5 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins both cars. The probability is (Type an integer or a simplified fraction.)

Name: A television game show has 7 doors, of which the contestant must pick
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Description: A television game show has 7 doors, of which the contestant must pick 2. Behind 2 of the doors are expensive cars, and behind the other 5 doors are consolation prizes.The contestant gets to keep the items behind the 2 doors she selects. Determine th

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CR: Chapter Review

Problem 80E

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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A television game show has 7 doors, of which the contestant must pick 2. Behind 2 of the doors are expensive cars, and behind the other 5 doors are consolation prizes.
The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins both cars.
The probability is
(Type an integer or a simplified fraction.)

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