A baseball player’s batting average is the number of hits the player has divided by the number of at-bats. At the beginning of the game, a player has a batting average of .360. During the game, the player gets 3 hits during 5 at-bats, and his batting average changes to .375. Write a system of linear equations that represents the situation. please explain how you got there

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.