A standard deck of 52 cards can contains four suits hearts, diamonds, clubs and spades each suit has 13 cards Ace, two, three, four, five, six, seven, eight, nine, 10, Jack, Queen, and King. Two cards of randomly drawn without replacement. Calculate the probability of drawing two diamond cards. Express your answer in percent form rounding to the nearest hundredth
There are a total of 52 cards in a standard deck, and there are 13 diamond cards in the deck.
To calculate the probability of drawing the first diamond card, there are 13 diamond cards out of 52 total cards, so the probability is 13/52.
After drawing the first diamond card, there are now 51 cards left in the deck and 12 diamond cards remaining.
Therefore, the probability of drawing the second diamond card after drawing the first one is 12/51.
To find the overall probability of drawing two diamond cards, we multiply the probabilities of the two events:
(13/52) * (12/51) = 0.0588
To express this as a percentage rounded to the nearest hundredth, we multiply by 100:
0.0588 * 100 ≈ 5.88%
Therefore, the probability of drawing two diamond cards from a standard deck of 52 cards is approximately 5.88%.