Here are two probability problems which are more difficult than they look. 1) A coach is training 15 girls. He wants to form 5 lines of 3 forwards each (left-wing, center,and right-wing). Assume that the order of assigning these positions matters. What is the probability that both Ann and May are in the same line? 2) There is a standard deck of 52 playing cards. EACH person is dealt 13 cards. What is the probability that one of the 4 people gets ALL 4 aces?