Consider a political discussion group consisting of 9 democrats, 7 republicans, and 6 independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting an independent and then republican.

An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select four cans in succession (without replacement). Find the probability of selecting a can of apple juice first, a can of orange juice, followed by two cans of grape juice.

Suppose that eight friends are about to sit down at a round table.Find the probability that either Ashley,Blair and Cody occupy three adjacent seats or that none of them sit next to each other.

A varsity hockey team has 7 juniors and 40 seniors.  The coach needs to pick 7 players to play a charity game, chosen at random.  What is the probability that 5 seniors and 2 juniors are chosen?