Two different record companies X and Y both produce classica

Two different record companies, X and Y, both produce classical music recordings. Label X is a budget label, and 5% of X\'s new records exhibit significant warpage. Label Y is manufactured under more stringent quality control conditions than X, so 2% of it\'s records exhibit warpage. If you purchased one record from X label and one record from Y label, what is the probability that both the records will be wrapped?

Solution

As they are independent events, then the probability of them happening together is just the product of their probabilities:

P(X and Y are wrapped) = P(X wrapped) P(Y wrapped) = 0.05*0.02 = 0.001 [answer]