1) What is the probability of passing Intermediate Micro conditional on passing Mathematical Economics?

2) What is the probability of passing Intermediate Micro conditional on not passing Mathematical Economics?

q A student is taking two courses from the Econ Depart- ment: terme iate Micro and Mathematical Economics. Suppose that each course has only a nal exam at the end of it and the only grade op- tions available are pass or fail. The unconditional probability of passing Intermediate Micro is 60%, i.e. P(IM) = 0.6. We know that the condi- tional probability of not passing Mathematical Economics given that In- termediate Micro is passed is 20% (i.e. P(m| IM) = 0.2). We also know that the probability of passing Mathematical Economics conditional on not passing Intermediate Micro is 10% (i.e. P(ME |W) = 0.1. (a) What is the probability of passing Intermediate Micro conditional on passing Mathematical Economics? 1 (b) What is the probability of passing Intermediate Micro conditional on not passing Mathematical Economics? (Hint: keep in mind that the probability of the complement of E is PE) = 1 P(E).)