How many 5-card hands out of a 52-card deck are 3-of-a-kind? Three of a kind is a hand containing three cards of the same rank and two cards of two other ranks.

Q: Three Players were numbered as 1, 2, and 3. How many teams of two players can be formed? List down…

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Q: Refer to a deck of fifty-two playing cards (jokers not allowed). (a) How many five-card poker hands…

A: There are 4 jacks and 4 queens in a deck of 52 cards.We can selct 3 jacks from 4 jacks in 4C3=4…

Q: If 5 cards are dealt from a standard deck of cards, how many different ways can three clubs and two…

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Q: How many ways are there to choose three cards from a standard 52-card deck without choosing any…

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Q: For each of n = 0, 1, 2, 3, 4, how many 5-card hands from a 52-card deck contain exactly n queens?

A: To find- For each of n = 0, 1, 2, 3, 4, how many 5-card hands from a 52-card deck contain exactly n…

Q: How many ways are there to choose four aces from a standard 52-card deck? How many ways are there to…

A: Number of aces = 4 The number of ways choosing 4 aces is ways = 4! ways= 4 x 3x 2x 1 ways = 24

Q: How many different 4-card hands can be dealt from a standard deck that: Contain 3 Hearts or 3 Clubs

A: We have to find no of combinations possible.

Q: A man is dealt a poker hand (5 cards) from an ordinary playing deck. In how many ways can be dealt a…

A: Given problem Given that   A man is dealt a poker hand ( 5 cards ) from an ordinary playing deck.…

Q: 22. How many ways may 4 cards be drawn randomly from a deck of 52 cards?

A: Query- How many ways may 4 cards be drawn randomly from a deck of 52 cards. Answer- , As we are…

Q: How many different five-card hands can be formed with the 52 poker cards if we want 3 diamond cards…

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Q: How many different flushes are possible in a regular deck of card?

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Q: How many combinations of names were possible for those three babies?

A: Here given  Parents are having triplet babies and have put 5 unique name cards in a bowl. When the…

Q: In how many ways can a full house of 3 jacks and a pair of twos be obtained from an ordinary deck of…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: If a 8 card hand is dealt from an ordinary 52 card deck, in how many of those hands are all 8 cards…

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Q: How many ways are there to choose four aces from a standard 52-card deck? How many ways are there to…

A: Hello there! Thank you for the question. According to our honor code can answer only three sub parts…

Q: How many different 5-card hands can be dealt from a deck that has 52 different  cards?

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Q: How many five-card hands (drawn from a standard deck) contain exactly two queens? (A five-card hand…

A: We have to find out given probability..

Q: And a standard deck of cards, if the order in which cards are dealt is not important. How many hands…

A: There are total 52 cards in a standard deck of cards. There are total 12 face cards in those 52…

Q: Suppose a class has 18 women and 12 men.We wish to form a committee of 5 people.If the committee is…

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Q: how many five card poker hands consist of a four of a kind?

A: In a standard deck of cards, there are 52 cards in total out of which there are 13 different…

Q: How many ways are there to pick 2 different cards from a standard 52-card deck such that a) the…

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Q: Suppose you choose 9 cards from a standard 52-card deck (with 13 hearts, 13 spades, 13 clubs and 13…

A: A standard 52-card deck contains 13 hearts, 13 spades, 13 clubs and 13 diamonds and probability of…

Q: In a standard deck of 52 cards, there are 4 suits (Spades, Hearts, Clubs, Diamonds) and 13 cards in…

A: The inclusion-exclusion principle is used to find the number of elements in the union of finite…

Q: For a standard 52-card deck (with 13 cards of each suit), how many ways are their to choose a 5 card…

A: Total number of cards in a deck = 52                          Number of suits = 4   Number of cards…

Q: How many 5-card poker hands selected from an ordinary 52-card deck contain four cards of the same…

A: A standard deck of cards contains 52 cards, of which 26 are red, and 26 are black, 13 of which are:…

Q: In how many ways can a row of three contestants for a TV game show be selected from an audience of…

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Q: How many 13-card bridge hands can be chosen from a deck of cards

A: Ans:-  How many 13-card bridge hands can be chosen from a deck of cards?

Q: If 5 cards are dealt from a standard deck of​ cards, how many different ways can three spades and…

A: 5 cards are dealt from a standard deck of​ 52 cards. There are 13 spade cards. Therefore number of…

Q: In a standard deck of cards, if the order in which cards are dealt his not important. How many hands…

A: There are total 52 cards in a deck And among those 52 cards, 12 cards are face cards.

Q: how many ways can you draw a flush (all 5 cards are the same suit) in a game of 5 card stud?

A: here given 5 cards are drawn from standard deck of 52 cards.

Q: How many different 4-card hands can be dealt from a deck that has 16 different cards?

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Q: How many five-card hands have exactly two Queens?

A: The total cards in a deck = 52 Total queens = 4 There will be two of the four queens, and three…

Q: Find the number of different ways to draw a 5-card hand from a standard deck (four suits with 13…

A: Note: There are only two colors in the deck, so we will determine different ways to draw a 5-card…

Q: How many 13-card hands dealt from a standard deck will have exactly seven spades?

A: A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear…

Q: In poker, a person is dealt 5 cards from a standard 52-card deck. The order in which you are dealt…

A: Given: A person is dealt 5 cards from a standard 52-card deck. The objective is to find the…

Q: In Poker, how many ways are there to get a Straight Flush (5 cards of consecutive rank, same suit)…

A: Obtain the number of different poker hands that are flush as follows. A straight can begin with any…

Q: How many different 5 card hands have three of a kind (3 cards if one kind, 1 card of a second kind,…

A: Introduction: The total number of ways in which a 5-card hand can be dealt from the standard 52-card…

Q: From a standard 52-card deck, how many 6-card hands consist entirely of black cards? There are…

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Q: How many 7-card hands that can be dealt off a 52-card deck in which two of the cards are diamonds…

A: The 7 card hands are dealt off a 52 card deck. These 7 cards consist of two diamond cards and 5…

Q: As shown above, a classic deck of playing cards is made up of 52 cards, 26 of which are black and…

A: It is given that the total number of cards (n) in the classic deck, is 52. Consider that d, h, and c…

Q: how many pairs (two cards with the same face and three cards with all different faces) are possible…

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Q: A hand consists of 4 cards dealt from an ordinary deck of 52 cards. How many hands are there…

A: Solution: The ordinary deck of 52 cards consist of four suits (hearts , diamond, spades, and club)…

Q: In Poker, how many ways are there to get Four-of-a-kind with a single Ace as fifth card?

A: The favorable observations are the one in which out of 5 cars 4 cards are either spades, club,…

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

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Q: How many two pairs (two cards with the same face, two more cards with the same face, and another…

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Q: How many 5 card hands possible with a 26 card deck?

A: Consider the provided question, Given, there are 26 card deck. Number of cards in one hand is 5.

Q: A four-of-a-kind hand is a selection of five cards from a standard 52 card deck consisting of four…

A: A four of a kind hand is a selection of five card from a standard 52 card deck consisting of four…

Q: How many four of a kinds (four cards with the same face and another card) are possible in 5 card…

A: A four of a kind is four cards showing the same number plus another card. If we order the 5 card…

Q: How many ways are there to choose two aces from a standard 52-card deck?

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Q: If 5 cards were picked at random from a deck of 52 cards, find P(Exactly 2 are hearts)?

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