Question

6) 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?

Answer 1

Number of Red Cards in a deck = 52÷2 = 26
Probability of drawing a red card = 26/52

Number of Black Cards in a deck = 52÷2 = 26
Probability of drawing a black card (after replacement) = 26/52

Therefore, Required Probability = (26/52) x (26/52) = 0.25

Answer 2

Total number of cards in a deck = 52

Number of red cards = 26

Number of black cards = 26

P(a red card, then a black card) = (26/52)(26/52) = 1/4

Answer: 1/4