-A basket contains six red and four blue marbles. Three marbles are drawn at random without replacement.

1) all three marbles drawn are red.

2) two marbles drawn are red and one is blue.

3) one marble drawn is red and the other two marbles drawn are blue.

4) the first marble randomly drawn is red; the second marble randomly drawn is blue; and the third marble randomly drawn is red (order DOES matter).

-At Faber College, 20% of the students take Finite Math, 30% take History, and 5% take both Finite Math and History. If a single student is chosen at random, find the probability that:

a.the randomly selected student is taking Finite Math given that said student is taking History

b.the randomly selected student is taking History given that said student is taking Finite Math