Suppose a card is drawn at random from a standard deck. The card is then shuffled back into the deck. Then for a second time a card is drawn at random from the deck. The card is then shuffled back into the deck. Finally, for a third time a card is drawn at random from the deck. What is the probability of first drawing a heart, then a black card, and then a jack?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 3PTTS
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Question
O
Here is a table showing all 52 cards in a standard deck.
Face cards
Suit Ace Two
Three Four Five Six Seven Eight Nine Ten
Jack Queen King
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+ К+
Black Spades A
24
4
5
64
7+
84
9
10
JA Q₂ КА
Clubs A 24 34 4 5
84 94 10 JA Q+ K♣
Color
Red
Black
34
Continue
2
6
Suppose a card is drawn at random from a standard deck. The card is then shuffled back into the deck. Then for a second time a card is drawn at random from
the deck. The card is then shuffled back into the deck. Finally, for a third time a card is drawn at random from the deck.
What is the probability of first drawing a heart, then a black card, and then a jack?
Do not round your intermediate computations. Round your final answer to four decimal places.
(If necessary, consult a list of formulas.)
3
X
$
4
7+
O
S
%
5
31
6
&
7
*
2008
Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center
8
(
*
Submit Assignmen
Accessibility
)
Transcribed Image Text:O Here is a table showing all 52 cards in a standard deck. Face cards Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King 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+ К+ Black Spades A 24 4 5 64 7+ 84 9 10 JA Q₂ КА Clubs A 24 34 4 5 84 94 10 JA Q+ K♣ Color Red Black 34 Continue 2 6 Suppose a card is drawn at random from a standard deck. The card is then shuffled back into the deck. Then for a second time a card is drawn at random from the deck. The card is then shuffled back into the deck. Finally, for a third time a card is drawn at random from the deck. What is the probability of first drawing a heart, then a black card, and then a jack? Do not round your intermediate computations. Round your final answer to four decimal places. (If necessary, consult a list of formulas.) 3 X $ 4 7+ O S % 5 31 6 & 7 * 2008 Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center 8 ( * Submit Assignmen Accessibility )
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