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 with replacement. Calculate the probability of drawing two diamond cards. Express your answer in percent form rounding to the nearest hundredth.(1 point)

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 with replacement. Calculate the probability of drawing two diamond cards. Express your answer in percent form rounding to the nearest hundredth.(1 point)

Answer 1

There are 13 diamond cards in the deck, so the probability of drawing one diamond card on the first draw is 13/52 or 1/4. Since we are drawing with replacement, the probability of drawing another diamond card on the second draw is also 1/4. To find the probability of both events happening, we multiply their individual probabilities:

(1/4) x (1/4) = 1/16

Therefore, the probability of drawing two diamond cards is 1/16 or 0.0625, which is equivalent to 6.25% rounded to the nearest hundredth. Answer: \boxed{6.25}.