Of the drinks at Joe’s Java and Juice Hut, contain coffee and contain dairy products. If Alexei randomly chooses a drink, what is the probability of getting a drink with both coffee and a dairy product? What is the probability of getting neither coffee nor a dairy product? Assume that choosing a coffee drink is independent of choosing a dairy-product drink. See if you can answer these questions without first making a two-way table.
If events A and B are independent, the P(A and B) = P(A) · P(B).