A standard deck of cards consists of 52 cards n each of the 4 suits: Spades, Diamonds, Hearts and Clubs. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King. A "hand" is a selection of 5 cards from the deck. Thus there are (53) possible hands. Suppose three players are each dealt a hand of 5 cards each from a shuffled deck. What is the chance that the first player gets a royal flush (i.e 10-J-Q-K-A of the same suit)? What is the chance that at least one player obtains a royal flush?

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: 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: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: From the above data We are given that Total number of cards = n =52 No of selected cards = r =3

Q: A volleyball team has ten players. To play a game, 6 players are needed to play positions numbered…

A: No. of players in the volleyball teamNo. of players needed to playThe positions are numbered from…

Q: How many ways are there to arrange the letters in the phrase REPEATED? If you have three shades of…

A: How many ways are there to arrange the letters in the phrase REPEATED? The word "REPEATED" has 8…

Q: How many possible combinations are there if there are 6 players and each player can either have 2…

A: We have given, Total number of players are n=6. And each player have 2 possible outcomes i.e. r=2.

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

A:

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?

A:

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: A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each…

A: It is known that  Total cards in a deck = 52 Numbe of Kings = 4 Number of Queens = 4

Q: In a class consists of 18 students. An urn contains 1 blue and 17 red balls. Without replacement,…

A: Given: There are 18 students in the class and each students randomly pick up a ball from an urn…

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: Introduction: The dealer first picks 5 cards from the standard deck, then shuffles the 5 cards and…

Q: The following question involves a standard deck of 52 playing cards. In such a deck of cards there…

A: As per our policy we are allowed to solve three sub parts at a time since, you have uploaded…

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

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: There are 12 players on a basketball team. A starting line up consists of a selec ive players to…

A:

Q: (a) In how many different ways can they all be the same suit? (b) In how many different ways can…

A: (a) A standard deck contains 52 cards, out of which 4 suits: spades (black), clubs (black), heart…

Q: Suppose there are 100 cans of green beans in a grocery store, and 75 of these are "Best Deal" brand…

A: There are 100 cans of green beans in grocery store. And 75 cans of these are "Best Deal" brand green…

Q: Let’s imagine a hand consisting of 1 card drawn from a non-standard 64-card deck with flowers on the…

A: In this problem, we are dealing with a non-standard deck of 64 cards, consisting of 4 suits with 16…

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

A:

Q: The following question involves a standard deck of 52 playing cards. In such a deck of cards there…

A: Note- Hey there! As per our policy we can answer only 3 sub-parts at a time. Please make a new…

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: A card game uses a special deck where each card has a number and a color. The numbers range from 1…

A: There are numbers range from 1 to 12. So total of 12 numbers. The colors are red, orange, yellow,…

Q: A straight flush is a poker hand that consist of 5 cards in a row of all the same suit (Diamonds,…

A: For a flush, 5 cards of same suit in a row should be present.

Q: An ordinary deck of cards contains 52 cards divided into four suits. The red suits are diamonds (+)…

A: It is given that there are totally 52 cards in an ordinary deck.

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: ere are four suits: clubs, diamonds, hearts, a ck, Queen, King. The Jack, Queen, and King a arts are…

A: Probability = number of favorable outcomes/ total number of outcomes

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: Jerry draws a card from a standard 52-card deck with replacement. How many attempts are expected for…

A: Given, Total 52 Cards in a deck

Q: How many different 7​-card hands can be selected from an ordinary​ deck

A: 52C7=133,784,560