SOLUTION: A car dealership has 6 red, 11 silver, and 5 black cars on the lot. Ten cars are randomly chosen to be displayed in front of the dealership. Complete parts (a) through (c) below.

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Question 1062057: A car dealership has 6 red, 11 silver, and 5 black cars on the lot. Ten cars are randomly chosen to be displayed in front of the dealership. Complete parts (a) through (c) below.
(a) Find the probability that 4 cars are red and the rest are silver.
(b) Find the probability that 5 cars are red and 5are black.
(c) Find the probability that exactly 6 cars are red.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A car dealership has 6 red, 11 silver, and 5 black cars on the lot. Ten cars are randomly chosen to be displayed in front of the dealership. Complete parts (a) through (c) below.
(a) Find the probability that 4 cars are red and the rest are silver.
P(4 red AND 6 silver) = (6C4*11C6)/22C10 = 0.0107
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(b) Find the probability that 5 cars are red and 5are black.
P(5 red AND 5 black) = (6C5*5C5)/22C10 = 0.00000928..
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(c) Find the probability that exactly 6 cars are red.
P(6 red AND 4 other) = (6C6*16C4)/22C10 = 0.0029
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Cheers,
Stan H.
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