Conditional Probability help

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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. 

May 5th, 2015

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

Let me know if you need further help.

May 5th, 2015

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