There are 26 black cards (13 spades and 13 clubs) and 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck of 52 cards.
The probability of drawing a black card or a face card from a standard deck of cards is calculated by adding the probabilities of drawing a black card and a face card and subtracting the probability of drawing a card that is both black and a face card.
Probability of drawing a black card = 26/52 = 1/2
Probability of drawing a face card = 12/52 = 3/13
Probability of drawing a card that is both black and a face card = 6/52 = 1/9
Therefore, the probability of drawing a black card or a face card is:
(1/2) + (3/13) - (1/9) = 15/26 or approximately 0.577 or 57.7%
Which of the following is the probability of drawing a black card or a face card from a standard deck of cards
1 answer