What is the minimum number of cards that must be drawn from an ordinary deck of cards (52) to guarantee that you have been dealt at least three aces (there are 4 aces in each deck)?

Q: Suppose you want to draw three cards from a standard deck of cards (4 suits; spade (black), clubs…

A: (a). Find the number of different ways to draw cards in such a way that there are at least 2 suits:…

Q: A bag contains 3 red marbles, three green ones, 1 lavender one, two yellows, and 4 orange marbles.…

A: We have to find number of possible sets of three marbles using given data Formula required:  Number…

Q: Fifty (50) students in a school played Basketball and Football. Every student plays at least one of…

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

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Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players .…

A: Given Total players = 20 We need to select 9 out of 20.

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: 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: 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: b) A drawer contains 14 white and 14 black socks, all unmatched. Ali is in a rush to school and has…

A: The pigeonhole principle is the base of counting along with the fundamental theorem of counting.…

Q: A person is playing a card game in which they receive 3 cards from a dealer. If the order doesn't…

A: The answer is given as follows :

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: How many ways are there to deal a hand of 4 cards if you dont care about the order of cards in your…

A: In a standard deck of cards, there are total 52 cards.

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: 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…

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Q: There is a  standard deck of 52 cards, a hand of 7 is dealt. Please find How many hands are…

A: Since the deck of cards consists of 52 cards we can say that the total possible outcome for each…

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: Find the number of ways of getting at least a pair when randomly getting nine cards from a standard…

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Q: Assume that a gambler playing keno has randomly chosen 4 numbers. In how many ways can the gambler…

A: Approach to solving the question:A popular gambling game called keno, first introduced in China over…

Q: A boy has a collection of 20 pennies, 8 nickels, 10 dimes and 15 quarters. How many coins must the…

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

A: Number of cards in a deck are 52 Number of queen cards in a deck are 4. Number of cards being…

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

A: There are 4 nines in a deck of 52 cards. We can select 3 nines in 4C3=4 ways.

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: how many ways can a hand of 7 spades be chosen from an ordinary deck?

A: Given that  Ordinary deck of cards Number of ways of can a hand of 7 spades be chosen from ordinary…

Q: A 5-card hand is dealt from a well-shuffled deck of 52 cards. How many ways are there to get a hand…

A: GivenThe number of cards in one deck of cards =52The number of cards in a hand =5 The number of…

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: . How many different ways are there of handing out the prizes if (a) the prizes are all the same?…

A: A kindergarten class has 18 children. FIve of the children are selected to receive prizes. Here use…

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 sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

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: A bag contains two red marbles, two green ones, one lavender one, three yellows, and two orange…

A:

Q: A standard 5- card poker hand is drawn simultaneously from a deck of 52 cards. You draw a “flush” if…

A: Given: A standard 5- card poker hand is drawn simultaneously from a deck of 52 cards. You draw a…

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

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