Question

question-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 cards are randomly drawn without replacement. Calculate the probability of drawing two diamond cards. Express your answer in percent form rounding to the nearest hundredth.

Answer 1

wrong

Answer 2

There are 13 diamond cards out of a total of 52 cards in the deck.

The probability of drawing a diamond card on the first draw is 13/52.
After drawing one diamond card, there are now 12 diamond cards left out of 51 total cards in the deck.

The probability of drawing a second diamond card is 12/51.

To find the probability of drawing two diamond cards, we multiply the probability of the first draw by the probability of the second draw:
(13/52) * (12/51) = 0.0588

Converting this probability to a percentage and rounding to the nearest hundredth gives us:
0.0588 * 100 = 5.88%

Therefore, the probability of drawing two diamond cards from a standard deck of 52 cards is 5.88%.

Answer 3

Let's correct the calculation:

The probability of drawing a diamond card on the first draw is 13/52.
After drawing one diamond card, there are now 12 diamond cards left out of 51 total cards in the deck.

The probability of drawing a second diamond card is 12/51.

To find the probability of drawing two diamond cards, we multiply the probability of the first draw by the probability of the second draw:
(13/52) * (12/51) = 0.0588

Converting this probability to a percentage and rounding to the nearest hundredth gives us:
0.0588 * 100 = 5.88%

Therefore, the probability of drawing two diamond cards from a standard deck of 52 cards is 5.88%.