A regular deck of cards has 52 cards. There are four suits of 13 cards each. The suits are called clubs (black), diamonds (red), hearts (red), and spades (black).

Two cards are drawn at random (without replacement) from a regular deck of cards. What is the probability that the first card is red and the second is red?

Question

A regular deck of cards has 52 cards. There are four suits of 13 cards each. The suits are called clubs (black), diamonds (red), hearts (red), and spades (black).

Two cards are drawn at random (without replacement) from a regular deck of cards. What is the probability that the first card is red and the second is red?

anonymous · Answer

I read the question to mean 2 independent events.

After the first card is drawn there are 51 cards remaining of which 25 are red.

So 1/2 * 25/51 = 25/102