Question

PLS HELP!!!

Assume that the following variables are independent:


The probability that a car buyer will pick the color blue is 0.25

The probability that a car buyer will pick the color blue and get a speeding ticket in the first year is 0.04

What is the probability that a car buyer will get a ticket in their first year given they picked a blue car?


a. 6.25



b. 0.16



c. 0.29



d. 0.21

Answer 1

Answer: b: 0.16

Explanation:

The data we have is:

The probability that a car buyer will pick the color blue is 0.25

The probability that a car buyer will pick the color blue and get a speeding ticket in the first year is 0.04

Then we have:

P(blue car) = 0.25

P(ticket in first year) = X

If there is no relation between those two things, the joint probability is:

P(blue car)*P(ticket in first year) = 0.04

X = P(blue car)*P(ticket in first year) /P(blue car) = 0.04/0.25 = 0.16

The correct option is b: 0.16