A standard deck of 52 cards four suits hearts diamonds clubs and spades each suit has 13 cards ace 2 3 4 5 6 7 9 9 10 jack queen and king. Two cards are randomly drawn without replacement calculate the probability of drawing two diamond cards
There are 13 diamond cards in a deck of 52 cards.
The probability of drawing a diamond card on the first draw is 13/52.
After the first diamond card is drawn, there are 12 diamond cards remaining out of 51 total cards.
Therefore, the probability of drawing a second diamond card after the first diamond card is 12/51.
To find the probability of drawing two diamond cards, we multiply the probabilities of the individual events:
(13/52) * (12/51) = 1/17
Therefore, the probability of drawing two diamond cards is 1/17 or approximately 0.0588 or 5.88%.