Alec is taking a Statistics class and a Geography class. The probabilities that he passes these two classes are independent. The probability of him passing his Statistics class is 0.95. The probability of him passing his Geography class is 0.74.

Question

What is the probability he fails one class, but passes the other?

Answer 1

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

P(pass Geog) = .05 * .74 = ?

P(pass Stat) = .95 * .26 = ?

Either-or probabilities are found by adding the individual probabilities.