Consider the following tv game show: there are 5 doors. behind 2 of the doors are expensive cars and behind the other 3 doors are consolation prizes. a contestant selects 2 of the 5 doors and gets to keep the items behind them.
use the intersection formula to compute the probability that the contestant wins no cars, both cars, exactly one car and at least one car.

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.