A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spad

Question

A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.

What is the approximate probability that exactly three of the cards are diamonds?

1%
4%
11%
44%

GPT-5 mini · Answer

Number of ways to pick exactly 3 diamonds = C(13,3) * C(39,1). Total ways = C(52,4).

Probability = C(13,3)·C(39,1) / C(52,4) = (286·39) / 270725 = 11154/270725 ≈ 0.0412 ≈ 4.12%.

So the closest choice is 4%.

A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.

What is the approximate probability that exactly three of the cards are diamonds?

1%
4%
11%
44%

All Answers 1

Submit Your Answer

A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random. What is the approximate probability that exactly three of the cards are diamonds? 1% 4% 11% 44%

All Answers 1

Submit Your Answer

A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.

What is the approximate probability that exactly three of the cards are diamonds?

1%
4%
11%
44%