A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a diamond and the second card drawn is a club? Do not round your intermediate computations. Round your final answer to four decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 9ECP: In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different...
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Here is a table showing all 52 cards in a standard deck.
Face cards
Color
Jack Queen King
Suit Ace Two Three Four Five Six Seven Eight Nine Ten
9♥10
Red
Hearts A 2♥ 3♥
5♥6♥ 7♥ 8♥
J♥ Q♥ K♥
Red Diamonds A
2
3
4
5
6
7♦ 8 9
10
J♦ Q♦ K♦
Black
Spades A
2
3
4
5
6
74
8
9
10
JA Q4 K
Black
Clubs 1 2 3
4
5 6
7 8 9
10
J Q K&
A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the
deck.
What is the probability that the first card drawn is a diamond and the second card drawn is a club?
Do not round your intermediate computations. Round your final answer to four decimal places.
Ú
3
?
Transcribed Image Text:Here is a table showing all 52 cards in a standard deck. Face cards Color Jack Queen King Suit Ace Two Three Four Five Six Seven Eight Nine Ten 9♥10 Red Hearts A 2♥ 3♥ 5♥6♥ 7♥ 8♥ J♥ Q♥ K♥ Red Diamonds A 2 3 4 5 6 7♦ 8 9 10 J♦ Q♦ K♦ Black Spades A 2 3 4 5 6 74 8 9 10 JA Q4 K Black Clubs 1 2 3 4 5 6 7 8 9 10 J Q K& A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a diamond and the second card drawn is a club? Do not round your intermediate computations. Round your final answer to four decimal places. Ú 3 ?
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