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 ?
Well is it a pack of 52 cards?
yes
3000over 52 then solve from there
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 ?
To find the probability that both cards are black, we need to determine the number of favorable outcomes (i.e., the number of ways to choose two black cards) and the total number of possible outcomes (i.e., the total number of ways to choose any two cards).
First, we need to understand that a standard deck of playing cards contains 52 cards, with 26 black cards (clubs and spades) and 26 red cards (hearts and diamonds).
When the first card is chosen from the deck, there is a 26/52 probability of choosing a black card, since half of the deck is black. After the first card is returned to the deck, the number of black cards and the total number of cards remain the same.
So, when the second card is chosen from the deck, the probability of selecting a black card is still 26/52.
To find the probability of both events occurring (choosing a black card first and a black card second), we multiply the individual probabilities.
Probability of choosing black card first = 26/52
Probability of choosing black card second = 26/52
Probability of both cards being black = (26/52) * (26/52) = 676/2704 = 1/4 ≈ 0.25
Hence, the probability that both cards chosen are black is 1/4 or 0.25.