A standard playing card has 52 cards. What is the probability of getting two black cards
If we are drawing two cards without replacement from a standard deck of 52 cards, there are a total of 26 black cards (13 spades and 13 clubs) out of the 52 cards.
To calculate the probability of drawing two black cards, we can break it down into two steps:
1) Probability of drawing a black card on the first draw: 26 black cards out of 52 total cards = 26/52 = 1/2
2) Probability of drawing a black card on the second draw, given that the first card was black: After removing one black card from the deck, there are now only 25 black cards out of the remaining 51 cards.
Therefore, the probability of drawing a black card on the second draw is 25/51.
To find the overall probability of getting two black cards, we multiply the probabilities of step 1 and step 2:
(1/2) * (25/51) = 25/102
Therefore, the probability of drawing two black cards from a standard deck of 52 cards is 25/102 or approximately 0.245.