Question

You choose a card from a deck of 52 cards. Without replacing the card, you choose a second card. What is the probability of choosing two red cards?

Answer 1

The probability of choosing two red cards without replacement is 25/102.

Step-by-step explanation:

The probability of choosing two red cards without replacing them is:

P(First card is red) × P(Second card is red | First card is red)

P(First card is red) = Number of red cards / Total number of cards = 26/52 = 1/2

P(Second card is red | First card is red) = Number of red cards after drawing the first red card / Total number of cards after drawing the first red card = 25/51

Therefore, the probability of choosing two red cards without replacement is (1/2) × (25/51) = 25/102.