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 42♥ 34 SV SV 69 7♥ SV 9 10 J Q" AV Red Diamonds 4 2 34 4+ 54 64 74 94 10 J Q+ K+ Black Spades de 26 34 54 64 7+ 96 10 Je 04 K Black Clubs 44 26 44 54 64 74 84 94 104 J4 04 K * # 8+ 86 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 face card, then a diamond, and then 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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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Here is a table showing all 52 cards in a standard deck.
Face cards
Jack Queen King
Suit Ace Two Three Four Five Six Seven Eight Nine Ten
Hearts 12V 34 AV 5♥6♥ 74
84
9 10 JV Q♥ KV
3+ 4+
74
8+
94 10 J
Q+
K+
34
7+
84
94 104 Je
04
K
Clubs 44 24 34
74 84 94 104 JA
04 K
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.
Color
Red
Red Diamonds 4 2
Black Spades 124
Black
5+ 6+
54 64
44 54 64
0
$
What is the probability of first drawing a face card, then a diamond, and then 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. Face cards Jack Queen King Suit Ace Two Three Four Five Six Seven Eight Nine Ten Hearts 12V 34 AV 5♥6♥ 74 84 9 10 JV Q♥ KV 3+ 4+ 74 8+ 94 10 J Q+ K+ 34 7+ 84 94 104 Je 04 K Clubs 44 24 34 74 84 94 104 JA 04 K 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. Color Red Red Diamonds 4 2 Black Spades 124 Black 5+ 6+ 54 64 44 54 64 0 $ What is the probability of first drawing a face card, then a diamond, and then a heart? Do not round your intermediate computations. Round your final answer to four decimal places.
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