Suppose a bag of 50 marbles, of which, 20 are blue, 16 are white and 14 are pink. If two marbles are selected at random, complete the following:
a. Sketch a tree diagram illustrating the probabilities of all possible combinations
b. what is the probability that both marbles are white?
c. what is the probability that one of the marbles are pink?
d. what is the probability that none of the marbles are blue?
e. what is the probability that at least one marble is white?