A standard deck of 52 cards contains four suits:hearts , 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 . Express in precent form rounding to the nearest hundredth
There are 13 diamond cards out of the total 52 cards in the deck.
The probability of drawing the first diamond card is 13/52.
After drawing the first diamond card, there are 12 diamond cards left out of the remaining 51 cards in the deck.
So, the probability of drawing the second diamond card, given that the first card drawn was a diamond, is 12/51.
Therefore, the probability of drawing two diamond cards is (13/52) * (12/51) = 0.0588.
Converting 0.0588 to percent form, we get 5.88%.
Therefore, the probability of drawing two diamond cards is 5.88%.