Question

In the following exercises, using an ordinary deck of cards (contains 52 cards), write each event as a set, and compute its probability:

(a) The event that the chosen card is black and is a face card.
(b) The event that the chosen card is red and has an odd number on it.

Answer 1

(a) {queen of spades, queen of clubs, king of spades, king of clubs}

P(black card and face) = 4/52 = 1/13

(b) {3 of hearts, 5 of hearts, 7 of hearts, 9 of hearts, 3 of diamonds, 5 of diamonds, 7 of diamonds, 9 of diamonds}

P(red card and odd number) = 8/52 = 2/13