6. A standard pack of 52 playing cards is used. What is the probability that: (a) If two cards are picked, that they are both spades?
(b) If two cards are picked, that they are of the same suit?
(c) If three cards are picked, that they are all of the same suit?
(d) If two cards are picked, then they are a pair i. e. two cards with the same value?
(e) If four cards are picked, then they are two from each of two different suits? [hard]