If you draw two cards from a standard deck without replacement, what is the probability that both cards are red?

• A. 1/2
• B. 25/102
• C. 2/17
• D. 1/3

Answer: (B)

This question tests how to handle probability with dependent events when drawing without replacement. To get both cards red, you need the first card to be red and then the second card to be red given that the first red card is already gone.

Start with 26 red cards out of 52, so the chance the first card is red is 26/52 = 1/2. If that happens, there are 25 red cards left and 51 cards total, so the chance the second card is red is 25/51. Multiply the chances: (1/2) * (25/51) = 25/102.

Thus, the probability that both drawn cards are red is 25/102.