1. Define A = (x: 0 s x S 1), B = {x: 0 :5 x S 3), and C = {x : -1 :s x ::: 2). Draw diagrams showing each of the following sets of points:
(a) Ac n B n C ·
(b) Ac u ( B n C)
(c) A n B n cc
(d) (( A u B) n ccc
2. Let A be the set of five-card .hands dealt from a 52-card poker deck, where the denominations of the five cards are all consecutive-for example, (7 of Hearts. 8 of Spades. 9 of Spades., 10 of Hearts, Jack of Diamonds). Let B be the set of live-card hands where the suits of the five cards are all the same. How many outcomes are in the event A n B?