Question

1.
What is the probability of dealing a 13-card hand, from a standard
deck, containing exactly 3 aces?

2. The probability of dealing a 13-card hand, from a standard
deck, containing at least one ace is?

3. What is the probability of dealing a 13-card hand, from a
standard deck, containing exactly 6 spades, 4 hearts, 2 diamonds,
and 1 club?

4. The number of 11-multisets of [7] is?

Answer #1

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Suppose you choose 5 cards from a standard 52-card deck (with 13
hearts, 13 spades, 13 clubs and 13 diamonds). How many different
choices of cards are possible if a. you can choose any 5 cards from
the deck? b. all 5 cards must be hearts? c. you must choose four
kings and one queen? d. you must choose 3 kings and no queens? e.
you must choose at least 1 king and at least 2 aces?

Consider a game that consists of dealing out two cards from a
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The deck contains the Ace of Spades (AS), the Ace of Hearts
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Let X be your total where; aces count as 1 or 11, kings count as
10 and your maximum count is 21 (that is, AA = 12). Also, let A be
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In a typical game of poker, you are dealt five cards (without
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(A full house is a hand consisting of three of one rank and two
of another. For instance, three...

Probabilities with a deck of cards. There are 52 cards in a
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black, Hearts/Diamonds are red. There are 12 face cards. Face cards
are those with a Jack (J), King (K), or Queen (Q) on them. For this
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(i.e., number 1). Then for each...

he following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

3. Find the probability that a 5-card hand (from a 52-card deck)
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Given a standard 52 card deck with 13 cards of each suit, the
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then the Queen of Hearts is aproximately?

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
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A card dealer at a casino has three decks of cards: Deck #1 is a
standard 52 card deck, Deck #2 is a standard deck with the ace of
spaces removed, and Deck #3 is a standard deck with both the king
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probability 0.9, from Deck #1 with probability 0.09, and from Deck
#2 with probability 0.01.
You play a game in which you are dealt two cards,...

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