A standard deck 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 cars are 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 13 diamond cards in a deck of 52 cards, so the probability of drawing a diamond on the first draw is 13/52.
After drawing a diamond on the first draw, there are now 12 diamond cards left in a deck of 51 cards, so the probability of drawing a diamond on the second draw is 12/51.
To calculate the probability of drawing two diamond cards, we multiply the probabilities of the two events:
(13/52) * (12/51) = 0.0588
To convert this probability to a percentage, multiply by 100:
0.0588 * 100 = 5.88%
Therefore, the probability of drawing two diamond cards from a standard deck of 52 cards is 5.88%.