2. (a) [4 points] Suppose that five good fuses and two defective ones have been mixed up. To find the defective fuses, we test them one-by-one, at random and without

replacement. What is the probability that we are lucky and find both of the defective fuses in the first two tests? (b) [8 points] If six cards are selected at random (without replacement) from a standard deck of 52cards, what is the probability there will be no pairs? (two cards of the same denomination.)