In a standard deck of 52 cards, how many different four-card hands can be formed with at most 2 jacks?

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

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Q: Consider a standard 52-card deck. Find the total number of ways of drawing (i) four-of-a-kind (4…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: Given a standard 52 card deck, how many ways are there to draw a 5-card hand with 2 pairs and one…

A: There are 13 different ranks in a deck of cards (Ace through King). We must choose two different…

Q: A keyboard has 7 keys: letters A-G. Suppose that a melody is created by playing four random keys.…

A: the 7th key can not be E,F,G. Hence for the 7th key we are left with only 4 choices.

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: The pouch contains 4 dimes, 2 nickels and one quarter. Two coins are randomly drawn from a pouch.

Q: There are 52 cards in a standard deck. Thirteen of those cards are spades. The deck is shuffled and…

A: Given that there are 13 spades.  We have to select 3 spades from the 13 spades.    Since the order…

Q: In how many ways can a hand of 8 diamonds be chosen from an ordinary deck?

A: No.of diamond cards in deck = 13

Q: From a standard deck of cards, how many 10 card hands can be dealt that contain exactly 3 aces?

A: We have given information,  In a standard deck of cards, 10 card hands can be dealt.

Q: This exercise refers to a standard deck of playing cards. Assume that 8 cards are randomly chosen…

A: A standard deck consists of 52 cards in which there are 4 suits of 13 cards each. There would be…

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

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

A: Let 5 cards are dealt from a standard deck of​ cards. A standard deck of cards has 52 cards, out of…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

Q: How many possible​ 5-card hands from a standard​ 52-card deck would consist of the following​ cards?…

A: 52 cards are there in a deck consists of 4 denomination. Each denomination contains 13 cards. 5…

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: In how many ways can a hand of 4 diamonds be chosen from an ordinary deck?

A: The combination formula is given by

Q: 7 cards are drawn from a standard deck of 52 playing cards. How many different 7-card hands are…

A: Given: 7 cards are drawn from a deck of cards n(s)=52

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

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Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Solution-: This exercise refers to a standard deck of playing cards. Assume that 5 cards are…

Q: How many five-card hands contain exactly four jacks or exactly four black cards?

A: Total cards in a deck = 52 Total Jacks = 4 Total black cards = 26

Q: A game is played with a circular spinner that contains 8 different colors.  The design of the…

A: Here given that there are 8 different colors in a circular spinner No of ways spinner can be…

Q: In a box there are: 11 red books, 7 white books and 4 blue books. Five books are randomly selected.…

A: From the above data  We are given that  11 red books, 7 white books and 4 blue book

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Answer:- We know that in a standard deck total number of cards = 52  Number of jack card = 4  Number…

Q: How many Full Houses are possible using a standard deck of 52 playing cards with no Jokers?

A: There are total 52 cards in standard deck. Total 4 suits in deck of cards And each suit have 13 rank…

Q: A deck of card contains 7 red, 5 black, 8 orange, and 9 white cards. How many different 4-card…

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Q: In a deck of 52 playing cards, how many 4-card hands are there that are made up of only red cards?

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Q: In how many ways can a hand of 6 diamonds be chosen from an ordinary deck? A hand of 6 diamonds can…

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Q: How many different hands of 5 cards from the deck of 52 are there? 2) An office building contains 27…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

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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: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Given information- This exercise refers to a standard deck of playing cards. Assume that 5 cards are…

Q: the game of Cribbage, players are each dealt 6 cards from a standard deck of 52 cards.  How many…

A: Given that  In the game of Cribbage, players are each dealt 6 cards from a standard deck of 52…

Q: From a standard​ 52-card deck, how many 6​-card hands consist entirely of face​ cards?

A: The standard deck of cards contains total 52 cards.

Q: Using a standard deck of 52​ cards, how many 4​-card hands contain all heart

A: using stanadard deck of 52 cards ,total outcomes:n=52 cards we have to find out  that 4 card hands…

Q: 2 Aces, 2 Jacks, and a red Queen?

A: