Here is a table showing all 52 cards in a standard deck. Face cards Color Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Red Hearts A♥ 2♥ 3▾ 4 5 6 7♥ 8▾ 9♥ 10 J♥ Q♥ K▾ Red Diamonds A 2+ 3. 4+ 5+ 6+ 7+ 8+ 9. 10. J⭑ Q+ K+ Black Black Spades A 2 34 4 5 6 7 8. 9 10 J Qe Ke Clubs 4+ 2+ 3♣ 4% 5% 6% 7♣ 8♣ 9♣ 10♣ Jay Qu Ka 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 heart and the second card drawn is black? Do not round your intermediate computations. Round your final answer to four decimal places. (If necessary, consult a list of formulas.) ☐

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...
Question
Here is a table showing all 52 cards in a standard deck.
Face cards
Color
Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King
Red
Hearts A♥ 2♥
3▾
4 5 6 7♥
8▾
9♥ 10 J♥
Q♥ K▾
Red Diamonds A 2+
3.
4+
5+ 6+
7+
8+
9. 10. J⭑
Q+ K+
Black
Black
Spades A 2
34
4 5 6
7
8.
9 10 J
Qe Ke
Clubs 4+ 2+
3♣
4% 5% 6% 7♣
8♣ 9♣ 10♣ Jay Qu Ka
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 heart and the second card drawn is black?
Do not round your intermediate computations. Round your final answer to four decimal places.
(If necessary, consult a list of formulas.)
☐
Transcribed Image Text:Here is a table showing all 52 cards in a standard deck. Face cards Color Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Red Hearts A♥ 2♥ 3▾ 4 5 6 7♥ 8▾ 9♥ 10 J♥ Q♥ K▾ Red Diamonds A 2+ 3. 4+ 5+ 6+ 7+ 8+ 9. 10. J⭑ Q+ K+ Black Black Spades A 2 34 4 5 6 7 8. 9 10 J Qe Ke Clubs 4+ 2+ 3♣ 4% 5% 6% 7♣ 8♣ 9♣ 10♣ Jay Qu Ka 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 heart and the second card drawn is black? Do not round your intermediate computations. Round your final answer to four decimal places. (If necessary, consult a list of formulas.) ☐
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