3. (15 pt., 5 pt. each) A standard deck of playing cards consist of 52 cards. Each card has a rank and a suit. There are 13 possible ranks (2, 3, 4, 5, 6, 7, 8, 9, 10, J, G, K, A), 4 possible Suits (spades, clubs, hearts, diamonds), and 13 cards for each suit (one for each rank). b. What is the probability that a hand of 7 cards contains 7 cards of the same suit? What is the probability that a hand of 7 cards contains 3 pairs of 3 different ranks and a single card of a fourth rank? What is the probability that a hand of 7 cards contains 4 cards of one rank and 3 cards of a second rank