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.
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.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question
Here is a table showing all
cards in a standard deck.
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 black card, then a spade, and then a face card?
Do not round your intermediate computations. Round your final answer to four decimal places.
52
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
|
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 black card, then a spade, and then a face card?
Do not round your intermediate computations. Round your final answer to four decimal places.
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