vision game show has 9 ​doors, of which the contestant must pick 3. Behind 2 of the doors are expensive​ cars, and behind the other 7 doors are consolation prizes. The contestant gets to keep the items behind the 3 doors she selects. Determine the probability that the contestant wins at least one car.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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A television game show has 9 ​doors, of which the contestant must pick 3. Behind 2 of the doors are expensive​ cars, and behind the other 7 doors are consolation prizes. The contestant gets to keep the items behind the 3 doors she selects. Determine the probability that the contestant wins at least one car.

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