A group of 100 students were asked if they carry a credit ca

A group of 100 students were asked if they carry a credit card, and their responses are summarized below:

If a student is selected at random, find the probability that the student is a freshman, given that he or she owns a credit card. (Round your answer to the nearest thousandth.)

Solution

The probability that the student is a freshman is
P(Freshman) =60/100

So the probability that he or she owns a credit card given that the student is a freshman

P(Owns a Credit card | freshman) = P(Owns a credit card and freshman)/ P(freshman)
=(22/100)/(60/100)
=22/60
=0.3666