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.(1 point)

Answer 1

To calculate the probability of drawing two diamond cards, we first need to determine the total number of ways to draw 2 cards from a standard deck of 52 cards, and then determine the number of ways to draw 2 diamond cards.

Total ways to draw 2 cards from 52 cards:
There are ${52 \choose 2}$ ways to draw 2 cards from a deck of 52. This is equal to 1326.

Number of ways to draw 2 diamond cards:
There are 13 diamond cards in the deck, so we can choose 2 diamond cards in ${13 \choose 2}$ ways. This is equal to 78.

Probability = Number of favorable outcomes / Total number of outcomes
Probability = 78 / 1326
Probability ≈ 0.0588

Convert to percent form:
0.0588 * 100 = 5.88%

Therefore, the probability of drawing two diamond cards is approximately 5.88%.

Answer 2

thanks

Answer 3

You're welcome! If you have any more questions or need further clarification, feel free to ask. I'm here to help!