Question
A standard deck of 52 cards contains four suit: hearts,diamonds, clubs and spades. Each suit has 13 cards: ace, 2,3,4,5,6,7 8,9,10, Jack queen, and king. Two cards are randomly drawn without replacement. Calculate the probability of drawing two diamond cards.
Answers
There are 13 diamond cards in the deck, so the probability of drawing a diamond on the first draw is 13/52. After the first card is drawn, there are 12 diamond cards left in the deck out of 51 total cards remaining. Therefore, the probability of drawing another diamond on the second draw, given that the first card was a diamond, is 12/51.
To calculate the probability of both events happening (drawing two diamond cards), we multiply the probabilities:
(13/52) * (12/51) = 3/52
So the probability of drawing two diamond cards from a standard deck of 52 cards is 3/52, or approximately 0.0588, or about 5.88%.
To calculate the probability of both events happening (drawing two diamond cards), we multiply the probabilities:
(13/52) * (12/51) = 3/52
So the probability of drawing two diamond cards from a standard deck of 52 cards is 3/52, or approximately 0.0588, or about 5.88%.