The probability that a student graduating from suburban state university has student loans to pay off after graduation is 0.60 the probability that a student graduating from this university has student loans to pay off after graduation and is a male is 0.12. find the conditional probability that a randomly selected student from this university is a male given that this student has student loans to pay off after graduation.

probability that a randomly selected student from this university is a male given that this student has student loans to pay off after graduation. is P = 0.20

Step-by-step explanation:

Suppose you have two events A and B.

If the probability of event A is Pa, and the probability of event B is Pb, then the probability of both events to happen is equal to P = Pa*Pb.

In this case, we have that the probability for a student to have to pay a loan is 0.60

and the probability for the student to hate to pay a loan and also being a male is 0.12

then if being a male is event A, and having a loan is event B, we have:

Pa = ?

Pb = 0.60

P = Pa*Pb = 0.12

then we can obtain Pa as:

Pa*0.60 = 0.12

Pa = 0.12/0.60 = 0.20

step-by-step explanation:

y=mx+b