Circle O is shown below. The diagram is not drawn to scale. Circle O is shown. Points A, B, and C are on the circle. Point A is at the upper left. Point B is at the lower left. Point C is at the lower right. A diameter is drawn from point A to point C. A radius is drawn from point O to point B. A chord is drawn from point A to point B. Central angle A O B measures 87 degrees.

What is the measure of angle BAC?
A. 43.5°
B. 46.5°
C. 93°
D. 174°

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.