A normal deck has 52 cards, consisting of 13 cards each for four suits: spades, hearts, diamonds, and clubs. Hearts and diamonds are red, and spades and clubs are black. Each suit has one Ace, numbered cards ranging from 2 to 10, one Jack, one Queen, and one King. The face cards are the Jack, Queen, and King. 11) What is the probability of drawing a Jack from the deck? 12) What is the probability of drawing a face card from the deck that is also a spade? Pr[face card and spade]? 13) What is the probability of not drawing a face card? 14) List two events that are mutually exclusive when drawing a single card from the deck. 15) If you draw the ace of spades and don't replace it into the deck before redrawing, what is the probability of drawing another of the remaining aces on the next draw? 16) Consider the above example (drawing two consecutive Ace cards on two draws without moving the first Ace card back into the deck before drawing again). Is this a dependent or independent event?
A normal deck has 52 cards, consisting of 13 cards each for four suits: spades, hearts, diamonds, and clubs. Hearts and diamonds are red, and spades and clubs are black. Each suit has one Ace, numbered cards ranging from 2 to 10, one Jack, one Queen, and one King. The face cards are the Jack, Queen, and King. 11) What is the probability of drawing a Jack from the deck? 12) What is the probability of drawing a face card from the deck that is also a spade? Pr[face card and spade]? 13) What is the probability of not drawing a face card? 14) List two events that are mutually exclusive when drawing a single card from the deck. 15) If you draw the ace of spades and don't replace it into the deck before redrawing, what is the probability of drawing another of the remaining aces on the next draw? 16) Consider the above example (drawing two consecutive Ace cards on two draws without moving the first Ace card back into the deck before drawing again). Is this a dependent or independent event?
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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![A normal deck has 52 cards, consisting of 13 cards each for four suits: spades, hearts, diamonds, and
clubs. Hearts and diamonds are red, and spades and clubs are black. Each suit has one Ace, numbered
cards ranging from 2 to 10, one Jack, one Queen, and one King. The face cards are the Jack, Queen, and
King.
11) What is the probability of drawing a Jack from the deck?
12) What is the probability of drawing a face card from the deck that is also a spade? Pr[face card and
spade]?
13) What is the probability of not drawing a face card?
14) List two events that are mutually exclusive when drawing a single card from the deck.
15) If you draw the ace of spades and don't replace it into the deck before redrawing, what is the
probability of drawing another of the remaining aces on the next draw?
16) Consider the above example (drawing two consecutive Ace cards on two draws without moving the
first Ace card back into the deck before drawing again). Is this a dependent or independent event?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1b9a505-940b-4485-938d-3f61851a534b%2F53947b5b-b7a5-4093-a1fa-787526dabc74%2F6db830h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A normal deck has 52 cards, consisting of 13 cards each for four suits: spades, hearts, diamonds, and
clubs. Hearts and diamonds are red, and spades and clubs are black. Each suit has one Ace, numbered
cards ranging from 2 to 10, one Jack, one Queen, and one King. The face cards are the Jack, Queen, and
King.
11) What is the probability of drawing a Jack from the deck?
12) What is the probability of drawing a face card from the deck that is also a spade? Pr[face card and
spade]?
13) What is the probability of not drawing a face card?
14) List two events that are mutually exclusive when drawing a single card from the deck.
15) If you draw the ace of spades and don't replace it into the deck before redrawing, what is the
probability of drawing another of the remaining aces on the next draw?
16) Consider the above example (drawing two consecutive Ace cards on two draws without moving the
first Ace card back into the deck before drawing again). Is this a dependent or independent event?
Expert Solution
Step 1: Given Information:
A standard deck of cards has 52 total cards, which are organized into four suits: spades, hearts, diamonds, and clubs, which each have 13 cards.
There are 13 cards in each suit: 3 face cards (Jack, Queen, and King), one Ace, and cards numbered 2 through 10. Hearts and diamonds are red suits, whereas spades and clubs are black suits. Kings, Queens, and Jacks are referred to as face cards.
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