Many of the students went to the beanbag toss game at the school carnival each student got to throw beanbags until five beanbags went threw the hole. Timmy scored 40 points, Penny scored 56 points, Judy scored 36 points , Ian scored 45 points and Amber scored 42 points. Two students reported their scores incorrectly. Why? Explain your answer.

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.