Suppose that 3 out of 19 doctors in a small hospital are trained in special procedures, 12 of the doctors are over the age of 40 and 2 is both trained in special procedures and over 40. What is the probability that you are randomly assigned a doctor that is either trained in special procedures or over the age of 40?

A certain young lady is out to find a new boyfriend.  She knows from Wikipedia that 40% of all men in her age range have black hair, 30% brown, 20% blonde, 5% red and 5% other.  If she goes on 15 dates with random guys from the pool of eligible boys, what is the probability that 8 have black hair, 3 brown, 3 blonde, and 1 red?

A box contains 3 blue dice and 2 orange dice, a second box contains 2 blue dice and 5 orange dice, if a blue dice is drawn what is the probability that it came from the first box

Probability Question

If a committee of 5 senators are selected from the 100 members of the the U.S. Senate, what is the probability that no 2 committee members are from the same state?

A box contains 8 red balls, 4 blue balls, and 3 green balls. If three balls are drawn without replacement, what is the probability that the first two balls drawn are red and the third ball drawn is blue?