The rental car agency has 30 cars on the lot. 10 are in great shape, 16...

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The rental car agency has 30 cars on the lot. 10 are in greatshape, 16 are in good shape, and 4 are in poor shape. Four cars areselected at random to be inspected. Do not simplify your answers.Leave in combinatorics form. What is the probability that:
a. Every car selected is in poor shape
b. At least two cars selected are in good shape.
c. Exactly three cars selected are in great shape.
d. Two cars selected are in great shape and two are in goodshape.
e. One car selected is in good shape but the other 3 selectedare in poor shape.

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Solution Total number of cars 30Number of cars in great shape 10Number of cars in good shape 16Number of cars in poor shape 44 car is selectedProbability of an event E is given byPE number of favourable outcomestotal number ofoutcomesa We have to obtain the probability that every car selected isin poor shapeNumber of ways of selecting 4 poor shaped cars from 4 poorshaped cars is given byTotal number of ways of selecting 4 cars from total 30 cars isgiven byHence See Answer

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