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
Mtcheew you don't have calculator or what
To calculate the probability that both cards chosen are black, we need to know the total number of cards in the deck and the number of black cards in the deck.
Step 1: Determine the total number of cards in the deck.
A standard deck of playing cards contains 52 cards. This includes 26 black cards and 26 red cards.
Step 2: Determine the number of black cards in the deck.
Since there are 26 black cards in the deck, the number of black cards remains the same even after one card is chosen and returned to the deck.
Step 3: Calculate the probability.
The probability of choosing a black card on the first draw is 26/52, which simplifies to 1/2. After returning the card to the deck, the probability remains the same. When choosing a second card, the probability of selecting a black card is also 1/2.
To find the probability of both events happening, we multiply the individual probabilities together:
P(both cards are black) = (1/2) * (1/2) = 1/4
Therefore, the probability that both cards chosen from the deck are black is 1/4 or 25%.