Question

a car rental agency has 12 midsized and 14 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 midsize cars

Answer 1

P(2 mid-sized cars and 4 compact cars) = 0.16 x 0.08
= 0.0128

Answer 2

it said that was wrong

Answer 3

P(6 midsized cars) =12C6*14C0/ 26C6 = { (12!/[12-6]!6!) *(14!/[14-0!]0!) }/(26!/[26-6]!6!)
=12!*20!*6!/[6!*6!*26!] = 0.004013

Answer 4

better viewable attachment