A physics class has 40 students. Of​ these, 15 students are physics majors and a total of 14 students are minoring in​ math, including 5 students that are both majoring in physics and minoring in math. Find the probability that a randomly selected student is minoring in math or a physics major.

In the US Congress, the Senate consists of 13 women and 87 men. The President randomly selects members of the Senate to sit in on his meetings. What is the probability of selecting 3 consecutive women? After selecting each person, you do not place them back in the selection pool.

The mathematics department of a college has 8 male professors, 11 female professors, 14 male teaching assistants, and 7 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a professor or a female.

a box contains five red, three blue and two white poker chips. two are selected without replacement. Find the probability that both are the same color

An undergraduate research committee consisting of 4 people is to be formed form 12 doctoral students and 4 supervisors. Find the probability that the committee will consist of exactly 2 doctoral students.