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 8V 9V 10V ♥ 0♥ K♥ Red Diamonds A 2 3 4 5 6 70 8 9 10 J Q KO Black Spades A4 24 34 44 54 64 74 84 94 104 JA Q4 KA Black Clubs A 24 3 4 54 6 7 8 9 10 J Q4 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 all three of the cards are spades? Do not round your intermediate computations. Round your final answer to four decimal places.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 2SC: How many different signals can be sent, when three flags are used, if two of the 9 flags are...
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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
20 3 40
5 60 7 8 9 10 V Q♥ K
Red Diamonds A 2 3 40
5 60 70
8 9 10 J Q KO
Black
Spades A 24 34 44 54 64 74
84 94 104 JA
Q4 KA
Black
Clubs A 24 3 4 54 6 7
84 9 104 Jみ 0+ 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 all three of the cards are spades?
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 Color Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Red Hearts 20 3 40 5 60 7 8 9 10 V Q♥ K Red Diamonds A 2 3 40 5 60 70 8 9 10 J Q KO Black Spades A 24 34 44 54 64 74 84 94 104 JA Q4 KA Black Clubs A 24 3 4 54 6 7 84 9 104 Jみ 0+ 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 all three of the cards are spades? Do not round your intermediate computations. Round your final answer to four decimal places.
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