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.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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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.)
Transcribed Image Text: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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