Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability that she draws a red card and then a black card?
These events are independent.
1/2 * 1/2 = 1/4
Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability that she draws a red card and then a black card?
Which graph is the solution set to y ¡Ü 3x2 + 2x + 5
Lauren has a normal deck of 52 playing cards (shown to the right).
If she randomly draws a card from the deck, what is the probability that it will be a red jack, a red queen, or a red king?
1/16
To find the probability that Michelle draws a red card and then a black card, we need to consider the number of favorable outcomes and the total number of possible outcomes.
A standard deck of 52 cards consists of 26 red cards (13 hearts + 13 diamonds) and 26 black cards (13 clubs + 13 spades). Since Michelle replaces the card after the first draw, the probability of drawing a red card on the first draw is 26/52 (since there are 26 red cards and 52 cards total).
After the first draw, Michelle puts the card back in the deck, and the deck returns to 52 cards. So, the probability of drawing a black card on the second draw is again 26/52.
To find the probability of both events happening (drawing a red card first and then a black card), we multiply the probabilities of each event together.
Probability of drawing a red card first = 26/52 = 1/2
Probability of drawing a black card second = 26/52 = 1/2
Therefore, the probability of drawing a red card and then a black card is:
(1/2) * (1/2) = 1/4
So, the probability that Michelle draws a red card and then a black card is 1/4 or 0.25.