Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Poker Hands Using the information in Exercise 70 in Section 4–4, find the probability of each poker hand.$$\begin{array}{l}{\text { a. Royal flush }} \\ {\text { b. Straight flush }} \\ {\text { c. Four of a kind }}\end{array}$$

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 5

Sampling and Data

Probability Topics

Temple University

Idaho State University

Boston College

Lectures

0:00

03:35

Solve each probability pro…

02:32

Poker Find the probabiliti…

02:29

00:59

$61-74$ Combinations $\qua…

01:16

01:53

01:59

01:40

Five-Card Poker Hands. Sup…

00:49

What is the probability th…

02:15

okay in this question, Number 16. It is asking us what is the problem? Is you getting a royal fresh? Okay, the first part of question, probably of getting royal flesh. So we should know. What is the concept of If you're getting a royal flush Mints throw in the poker game will be having five cars at hand, right? So, out of 52 cards, the five cards you can select by using 52 C five ways there'll be the daughter number of ways selecting five cars out of 50. No, a royal flush means it will be like, What case will be there? King, a Queen Jack and all these bikers should become right. So how How many ways will make a thing? These fighters So we know there are 52 cards are there out of 52 cards. There are four. A third, it's with four aces. We can select one of the aces by using 47 days that we can do by using 47 ways. No, the remain 11 thing. Aces selected. Other four cars are already determined, depending upon the ace record, so it is already determined that we can go buy only one day. Okay, so one aces selected. The remaining cards are fixed. It so will be getting royal fresh by using four C one ways out off 52 C five ways. So this will be required. Probability. Okay. Now, in the second part of the question, it is asking, what is the probability of getting has tried flesh has tried to flesh. Probably get a strike fresh. So we should know. What is the meaning? Off s tried fleshes. Straight flush means it is a case where we have all cancer. Same suit. Andi, which are showing a consecutive numbers, James suit and constitute numbers Right on. We should not get five highest consecutive numbers. That is a King Queen Jack. Those cards, not five high cards. This is the condition. So now we see how we will get that. If you're getting five cars from the highest number two lowest number of years selecting so the first god, it can be any card from time. 10, 98765 etcetera Out. So how? But we have to select Did not get the Royal Fleischer's so know how many possibilities are there like that can be up to do like that. There are nine possibilities. Are there? Okay? One of the card can be any of this card. No. First we selected first card. Now the remaining cards from the same suit that we can select only four ways because you're talking only about five Garcia. So first card I considered by nine possibilities are there. Once you select one of the cards, suppose you're selecting 10th, then you should have 10, 9876 The remaining cards have fixed area. So the remaining cards you can select only by using four ways okay? No. So that where is the pro ways we can select a stride flesh will be what fast Riccardi concert by nine bays. The remaining cards you can select by four ways developed by the total number of ways that is 52 cards. You're selecting fire. This will be that requires No. The third part of the question it is asking probably of getting four off a kind. Probably. You're getting four of a kind. This four of a kind wins. It is cards were selecting for cards showing same number on the fifth card will be what can be any card. So four guards, same number plus 50 guard can be any card. This is the condition. Can be any car. No. Four of a kind individual kit. It's for God that you're selecting 1st 24 carry authority. His first four card that you can select out off 13 cards from any fruit, Right? Because there are four suit certain. It's short condensed 13 girls. So we should get the same number of God save number card. Okay, so from one suit, you're selecting one off this card. Suppose you're selecting one Do is number. Miss that. Do we can select from one off the suit by using 13th, seven days? Okay, once you select one card, the remaining three cards, sir Fix in here because four cards. That same number. So the remaining cards be conflict out of four cards you're selecting for girls. Okay, so that will be done by fourty four ways. Once you select these four cards, now we have we have to select what? The last car. That 50 card, The fifth, the guard. You can select any off the remaining for dead card, so that can be done by 58. See one weighs 30 48 7 ways. So this will be required. Probably a number of ways for are favorable occasion so that we can write us 13 7 minutes, 13, 44 minutes. It is 1 48 7 minutes. It is 48 divided by total number of ways will be always selecting five cards from 52. So this one you can reduce into 6 24 5 50 to fight. This will be that required probably.

View More Answers From This Book

Find Another Textbook

Numerade Educator

Solve each probability problem.Poker Hands If a five-card poker hand is …

Poker Find the probabilities of the following hands at poker. Assume aces ar…

$61-74$ Combinations $\quad$ These exercises involve counting combinations.<…

Five-Card Poker Hands. Suppose that 5 cards are drawn from a deck of 52 card…

What is the probability that a five-card poker hand contains the ace of hear…

What is the probability that a five-card poker hand contains at least one ac…

03:38

The top web browser in 2015 was Chrome with 51.74% of the market. In a rando…

04:18

Socks in a Drawer A drawer contains 11 identical red socks and 8 identical b…

04:26

Hawaiian Words The Hawaiian alphabet consists of 7 consonants and 5 vowels. …

01:41

Automobile Selection An automobile dealer has 12 small automobiles, 8 mid-si…

04:49

Selecting a Committee There are 7 women and 5 men in a department. How many …

02:42

Dominoes A domino is a flat rectangular block whose face is divided into two…

08:40

Seating in a Movie Theater How many different ways can 5 people- $\mathrm{A}…

03:01

According to the U.S. Census, 67.5% of the U.S. population were born in thei…

02:12

A game of concentration (memory) is played with a standard 52-card deck. How…

04:46

Senate Partisanship The composition of the Senate of the 114th Congress is

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.