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♥ JV Q♥ K♥ Red Diamonds 4 2 A 3♦ 4♦ 7+ 8♦ 9+ 10♦ J♦ K♦ Black Spades A4 24 74 9 10 Ja KA 8 9 10♣ J Black Clubs A 2 34 3 5♦ 6♦ 44 54 64 4 5 6 7& 84 O 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. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a heart, the second card drawn is a spade, and the third card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.

A First Course in Probability (10th Edition)
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Here is a table showing all 52 cards in a standard deck.
Color
Red
Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King
Hearts A♥ 2♥ 3♥
10♥ J♥ Q♥ K♥
4♥ 5♥6♥ 7♥
7+
8♥ 9♥
8♦
Red Diamonds A 2+ 3♦
4♦ 5+ 6♦
9♦
10. J
K♦
Spades A
24 34 4* 54 64
84
94 10
Clubs A 2 3% 4 5 6 7
8♣ 9 10 J
Black
Black
*
Face cards
74
Ja O₂
K
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. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck.
What is the probability that the first card drawn is a heart, the second card drawn is a spade, and the third card drawn is a heart?
Do not round your intermediate computations. Round your final answer to four decimal places.
Transcribed Image Text:Here is a table showing all 52 cards in a standard deck. Color Red Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Hearts A♥ 2♥ 3♥ 10♥ J♥ Q♥ K♥ 4♥ 5♥6♥ 7♥ 7+ 8♥ 9♥ 8♦ Red Diamonds A 2+ 3♦ 4♦ 5+ 6♦ 9♦ 10. J K♦ Spades A 24 34 4* 54 64 84 94 10 Clubs A 2 3% 4 5 6 7 8♣ 9 10 J Black Black * Face cards 74 Ja O₂ K 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. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a heart, the second card drawn is a spade, and the third card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.
Expert Solution
Step 1

Given : Total Cards=52

Red cards(R)=26

Black cards (B) =23

Heart card (H)=13

Diamonds (D)=13

Spade Card (S)=13

Club card (C)=13

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