Use the examples in the slides to answer the question. In the game of poker played with an ordinary deck of 52 cards various five-card holdings are given special names. The name "three of a kind" is reserved for a holdingthat meets the following rule:Three cards of the same denomination and two other cards of different denominations.The number of distinct "three of a kind" that can be drawn from a 52-card deck can be calculated with the following product expression:(²12) (4)2 SLIDES:-Four of a kindFull houseFlushWhat are we choosing? Your turn(¹3)(¹2)(33)()(¹9) (4)Straight54 cards one denominationwith free fifth card(19)9)(¹9) (4)3 cards one denomination2 cards another denomination (¹3)(3)(¹)()Denomination for three cardsSuit for three cardsStraight flushChooseChoose fifth carddenomination denomination and suitSuit for two cardsNamed Hands of Cards 3Denomination for two cards5 cards same suitNot straight or royal flush(30)Choose five cards in a suitChoose the suit5 adjacent denominationsNot all same suit13SubtractChoose starting denomination of straight straight orChoose suitroyal flush(34)-(0)5(¹9) (4) ³ - (94)Choose starting denomination of straightChoose a suit for each of five cards5 in order, same suit,not royal flush, Ace H/LChoose starting denomination of straightChoose one suit for all five cardsExample 9.5.9 Poker Hand Problems in Epp on page 626In the card game poker, various 5-card hands have namesThe number of ways to select a named hand creates its probability ofbeing dealt at randomThe named hands are ordered by probability of selectionLower probability hand beats higher probability hands in the gameRoyal flush10,J,K,Q,A of same suit(*Count =Subtractstraights ofsame suitChoose 10, J, K,Q, A in one suit10 cards canstart the straightChoose one offour suits(49)0)-(Subtractfour royalflushesChoose one offour suits

Answered: Image /qna-images/answer/44fae514-3d2e-4a4a-a636-bfd688c71cab.jpg

In the game of poker played with an ordinary deck of 52 cards various five-card holdings are given special names. The name "three of a kind" is reserved for a that meets the following rule: Three cards of the same denomination and two other cards of different denominations. The number of distinct "three of a kind" that can be drawn from a 52-card deck can be calculated with the following product expression: (4) (4)()()3

In the game of poker played with an ordinary deck of 52 cards various five-card holdings are given special names. The name "three of a kind" is reserved for a that meets the following rule: Three cards of the same denomination and two other cards of different denominations. The number of distinct "three of a kind" that can be drawn from a 52-card deck can be calculated with the following product expression: (4) (4)()()3

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Use the examples in the slides to answer the question.

In the game of poker played with an ordinary deck of 52 cards various five-card holdings are given special names. The name "three of a kind" is reserved for a holding
that meets the following rule:
Three cards of the same denomination and two other cards of different denominations.
The number of distinct "three of a kind" that can be drawn from a 52-card deck can be calculated with the following product expression:
(²
12) (4)
2

SLIDES:
-
Four of a kind
Full house
Flush
What are we choosing? Your turn
(¹3)
(¹2)
(33)()
(¹9) (4)
Straight
5
4 cards one denomination
with free fifth card
(19)9)
(¹9) (4)
3 cards one denomination
2 cards another denomination (¹3)(3)(¹)()
Denomination for three cards
Suit for three cards
Straight flush
Choose
Choose fifth card
denomination denomination and suit
Suit for two cards
Named Hands of Cards 3
Denomination for two cards
5 cards same suit
Not straight or royal flush
(30)
Choose five cards in a suit
Choose the suit
5 adjacent denominations
Not all same suit
13
Subtract
Choose starting denomination of straight straight or
Choose suit
royal flush
(34)-(0)
5
(¹9) (4) ³ - (94)
Choose starting denomination of straight
Choose a suit for each of five cards
5 in order, same suit,
not royal flush, Ace H/L
Choose starting denomination of straight
Choose one suit for all five cards
Example 9.5.9 Poker Hand Problems in Epp on page 626
In the card game poker, various 5-card hands have names
The number of ways to select a named hand creates its probability of
being dealt at random
The named hands are ordered by probability of selection
Lower probability hand beats higher probability hands in the game
Royal flush
10,J,K,Q,A of same suit
(*
Count =
Subtract
straights of
same suit
Choose 10, J, K,
Q, A in one suit
10 cards can
start the straight
Choose one of
four suits
(49)0)-(
Subtract
four royal
flushes
Choose one of
four suits

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