5 people are chosen randomly from 4 women and 5 men to participate in an event.  What is the probability that the team consists of 3 men and 2 women?

A box contains 4 blue marbles, 5 green marbles and 8 red marbles. A marble is picked from the bag at random. Find the probability that the marble picked is red. Find the probability that the marble picked is not blue. Find the probability that the marble picked is not green.

Suppose you are going to form a committee of students and faculty. You have 7 total students and 12 total faculty to pick from. You want to have 8 total people on the committee. What is the probability that you select 2 students and 6 faculty? Enter your answer rounded to two decimals. Show your work. Enter the work that you used to get your answer.

A chest of pirate treasure has 8 fake coins, 6 plastic jewels, 5 painted stink bombs, and 2 priceless artifacts. If a person randomly selects one item from the chest, what is the probability that they select a priceless artifact? Write your answer as a decimal and round to three decimal places.