cannot decide which of two washing machines to buy. The selling price of each is ​$455. The first is marked down by ​50%. The second is marked down by ​20% with an additional ​30% off. Find the sale price of each washing machine. Explain why should buy the first washing machine rather than the second if the machines are the same except for the selling price.

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.