Question

A card is drawn at random from a standard 52-card deck. Find the probability that the card is an ace or not a club.

Answer 1

0.7692077

Explanation:

Number of cards in a standard deck = 52

Number of aces in a standard deck = 4

Number of clubs in a standard deck = 13

Probability = required outcome / Total possible outcomes

P(ace) = 4 / 52 = 0.0769

P(club) = 13 / 52 = 1/4 = 0.25

P(not club) = 1 - p(club) = 1 - 0.25 = 0.75

P(ace and not club) = 3/52 = 0.0576923

P(ace or not club) = p(ace) + p(not club) - p(ace and not club

= 0.0769 + 0.75 - 0.0576923

= 0.7692077