Dharen has to randomly select two cards from a standard deck of 52 cards without returning the first card. A standard deck of cards has 26 black cards and 26 red cards. What is the probability that both cards are black?
Since the first card selected is not returned, there are now 51 cards remaining in the deck, with 25 black cards and 26 red cards.
The probability of selecting a black card for the first draw is 26/52 = 1/2.
After selecting one black card, there are 25 black cards left in the deck and 50 total cards remaining.
The probability of selecting a black card for the second draw is 25/50 = 1/2.
Therefore, the probability of selecting two black cards in a row is:
(1/2) * (1/2) = 1/4
So, the probability that both cards are black is 1/4.