Find the probability that the student is taking calculus, given that he or she is on the dean's list.

Question

At a large university, the probability that a student takes calculus and is on the dean's list is 0.100. The probability that a student is on the dean's list is 0.20. Find the probability that the student is taking calculus, given that he or she is on the dean's list.

Please round the final answer to 2 or 3 decimal places

P(The student is taking calculus given that he or she is on the dean's list) =

Answer 1

P(D&C) = .1 = 10%

P(D) =.2 = 20%

P(C/D) =P(D&C)/P(D)

= .1/.2 = 1/2 = .50%