Question

Box X contains 8 oranges of which 3 are Bad and Box Y contains 5 pears of which 2 are bad. A fruit is drawn from each box.

a) What is the probability that both are not bad?
b) What is the probability that one item is bad and one is not?
c) If one fruit is a bad and one is not what is the probability that the bad fruit came from box X

Answer 1

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

a) 5/8 * 3/5 = ?

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

b) 3/8 * 3/5 or 5/8 * 2/5

c) 3/8