In a class of 30 students, 16 have a cat and 15 have a dog. There are 11 students who have a cat and a dog. What is the probability that a student has a dog given that they do not have a cat?

the correct answer is the last option

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.