A standard of 52 cards contains four suits: 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 card. Express you answer in percent form rounding to the nearest hundredth.
There are a total of 52 cards in a standard deck, with 13 of them being diamonds.
The probability of drawing the first diamond card is 13/52. After drawing one diamond card, there are now only 51 cards left in the deck, with 12 of them being diamonds. Therefore, the probability of drawing the second diamond card is now 12/51.
To find the probability of drawing two diamond cards, we multiply the probabilities of drawing the first and second diamond card:
(13/52) * (12/51) = 0.0588
Converting this to percentage form, we get 5.88%.
Therefore, the probability of drawing two diamond cards from a standard deck of 52 cards is 5.88%.