Question 1) An urn contains twelve balls, four of which are white, three green and five black. a) We draw three balls, what is the probability that all three balls are of different color? b) We draw three balls consecutively, after each drawing placing back the ball in the urn before drawing the next, what is the probability that the color of all three drawn balls is different?

Question 2) We are given a die and six fair coins. First we roll the die and then we flip exactly the number of coins the die shows. What is the probability that we get exactly two "heads"?