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 | Spades |
A ♠ |
2 ♠ |
3 ♠ |
4 ♠ |
5 ♠ |
6 ♠ |
7 ♠ |
8 ♠ |
9 ♠ |
10 ♠ |
J ♠ |
Q ♠ |
K ♠ |
Black | Clubs |
A ♣ |
2 ♣ |
3 ♣ |
4 ♣ |
5 ♣ |
6 ♣ |
7 ♣ |
8 ♣ |
9 ♣ |
10 ♣ |
J ♣ |
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 diamond,
the second card drawn is a diamond, and the third card drawn is a
club?
Do not round your intermediate computations. Round your final
answer to four decimal places.
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