Question

car rental agency has 13 midsized and 18 compact cars on its​ lot, from which 6 will be selected. Assuming that each car is equally likely to be selected and the cars are selected at​ random, determine the probability that the cars selected consist of all midsized cars.

Answer 1

The probability of selecting 6 cars which are midsized cars is 0.0046

Explanation:

We have given that car rental agency has 13 midsized car

So number of midsized car = 13

Number of compact cars = 18

So total number of car = 13+18 = 31

We have to select 6 cars

And we have to find the probability that all selected car will midsized car

Probability is given by
`=(^(13)C_(6))/(^(31)C_6)=0.0046`

So the probability of selecting 6 cars which are midsized cars is 0.0046