1. We have a deck of 52 playing cards and we select, at random, one card. In each of the following parts, determine if the given events are independent or not, and mutually exclusive or not. (Note that you need to show how you reached conclusions, otherwise you will not get any points.)
(a) [15 points] Events: K: Event that a king is selected, Q: Event that a queen is selected.
(b) [17 points] Events: K: Event that a king is selected, R: Event that a red card is selected.
(c) [18 points] Events: H: Event that a card higher than 5 is selected (6,7,8,9,10, Jack, Queen, King, Ace), L: Event that a card lower than 10 is selected (2,3,4,5,6,7,8,9).