Description
The probability that a student graduating from college has student loans to pay off after graduation is .60 The probability that a student graduating from the university has student loans to pay off after graduation and is a male is .24 Find the conditional probability that a randomly selected student from the university is a male given that this student has student loans to pay off after graduation.
Explanation & Answer
P(L) = 0.6 (Probability that a student has loans to pay off after graduation)
Assume, P(M) = X (Probability that a randomly selected student from the university is a male)
P(M ∩ L) = 0.24 (Probability that a student graduating from university has a loan to pay and is a male)
and P(M|L) = Probability that a randomly selected student is a male given that he has loan to pay)
We know from conditional probability that
P(M|L) = P (M ∩ L) / P(L)
= 0.24 / 0.60
P(M|L) = 0.4
Thus Answer is 0.4
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