Question

A television game show has 11 doors, of which the contestant must pick 3. Behind 3...

A television game show has 11 doors, of which the contestant must pick 3. Behind 3 of the doors are expensive cars, and behind the other 8 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.

The probability is _____.

Math   Statistics-And-Probability   
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Answer #1

The probability of winning a car in a single door selection = and the probability of not winning a car = =

The probability that the contestant wins at least one car out of 3 selected doors = The probability that the contestant wins exactly one car + The probability that the contestant wins exactly two cars + The probability that the contestant wins exactly three cars = = 0.2186.

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