A card is chosen from a pack of playing cards then returned to the pack.A second card is chosen.What is the probability that both cards are black
If the pack has 52 cards then:
in a pack of 52 cards there are total 26 black cards.
Probability that one card is black is 26 / 52 = 1 / 2
Probability that both cards are black is = 1 / 2 ∙ 1 / 2 = 1 / 4
1/2
52/2 =26
2/26=1/2 so answer is 1/2 or 50%
Probability getting a black cards
is 26/52 or 1/2. Since the first card is returned to the pack, the probability of getting a black card on the second draw is still 1/2. Therefore, the probability of getting two black cards in a row is 1/2 x 1/2 = 1/4 or 0.25 or 25%.
To find the probability that both cards chosen are black, we need to know how many cards in the deck are black and the total number of cards in the deck.
In a standard deck of playing cards, there are 26 black cards (13 spades + 13 clubs) and a total of 52 cards.
When the first card is chosen and returned to the deck, the number of black cards and total number of cards remain unchanged. Therefore, the probability of choosing a black card on the first draw is 26/52 = 1/2.
When the second card is chosen, the probability of selecting a black card again is still 26/52 = 1/2, as the deck hasn't changed since the first draw.
To find the probability of both events happening (selecting a black card on the first draw and selecting another black card on the second draw), we multiply their probabilities: (1/2) * (1/2) = 1/4.
Therefore, the probability that both cards chosen are black is 1/4, or 25%.