Question

A card is drawn from a standard deck of cards. Determine whether the events are mutually exclusive or inclusive. Then, find the probability.
P(ace or club)

a. inclusive, 4/13
b. mutually exclusive, 17/52
c. mutually exclusive, 4/13
d. inclusive, 17/52

Answer 1

Out of the 52 cards in a deck, there are 13 clubs and 4 aces. The given situation is an inclusive event because out of the 4 aces there is one of them that is a club. The probability therefore,
                       P(ace) + P(club) - P(inclusive event)
Substituting gives,
                       4/52 + 13/52 - 1/52 = 4/13
The answer is letter C. 4/13.