Question

A standard deck of cards contains 52 cards. thirteen of the cards are spades, and three of the spades are face cards. in all, the deck contains 12 face cards. when drawing one card at random from a shuffled deck, let a = {getting a face card} and b = {getting a spade}. what is the probability a or b happens? answer as a fraction in the format

Answer 1

Total number of cards = 52
Total number of spades = 13
Total number of face cards that are not spades = 3 x 3 = 9

Total number of spades or face cards = 13 + 9 = 22

P(a or b) = 22/52 = 11/26

Answer: 11/26