Sam has two job offers for sales jobs. For job A, he would earn a monthly salary of $2,500 and no commission. For job B, he would earn $1,000 per month and a commission of 5% on all sales. Which would pay more if his sales are $50,000 per month?

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.