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7th Edition

Stefan Waner + 1 other

Publisher: Cengage Learning

ISBN: 9781337280426

Chapter 7.5, Problem 44E

Textbook Problem

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If a die is rolled four times, find the probability of the sequence 4, 3, 2, 1. [**HinT:** See Example 5.]

To determine

**To calculate:** The probability of the sequence, 4, 3, 2, 1, when a die is rolled four times.

**Given Information:**

A die is rolled 4 times. The sequence is 4, 3, 2, 1.

**Formula used:**

The probability of a sequence of events

**Calculation:**

Consider the provided sequence,

4, 3, 2, 1

The sample space for rolling a die is

There are 6 possible outcomes in total

Finite Mathematics

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In Exercises 6368, draw an appropriate tree...Ch. 7.5 - In Exercises 6368, draw an appropriate tree...Ch. 7.5 - In Exercises 6368, draw an appropriate tree...Ch. 7.5 - Education and Employment Exercises 6978 are based...Ch. 7.5 - Education and Employment Exercises 6978 are based...Ch. 7.5 - Education and Employment Exercises 6978 are based...Ch. 7.5 - Education and Employment Exercises 6978 are based...Ch. 7.5 - Education and Employment Exercises 6978 are based...Ch. 7.5 - Education and Employment Exercises 6978 are based...Ch. 7.5 - Education and Employment Exercises 6978 are based...Ch. 7.5 - Education and Employment Exercises 6978 are based...Ch. 7.5 - Education and Employment Exercises 6978 are based...Ch. 7.5 - Education and Employment Exercises 6978 are based...Ch. 7.5 - Air Bag Safety According to a 2000 study conducted...Ch. 7.5 - Air Bag Safety According to the study cited in...Ch. 7.5 - Productivity A company wishes to enhance...Ch. 7.5 - Productivity Consider the events T and I in...Ch. 7.5 - Internet Use in 2000 The following pie chart shows...Ch. 7.5 - Internet Use in 2001 Repeat Exercise 83 using the...Ch. 7.5 - Auto Theft Exercises 8590 are based on the...Ch. 7.5 - Auto Theft Exercises 8590 are based on the...Ch. 7.5 - Auto Theft Exercises 8590 are based on the...Ch. 7.5 - Auto Theft Exercises 8590 are based on the...Ch. 7.5 - Auto Theft Exercises 8590 are based on the...Ch. 7.5 - Auto Theft Exercises 8590 are based on the...Ch. 7.5 - Drug Tests If 90% of the athletes who test...Ch. 7.5 - Fitness Tests If 80% of candidates for the soccer...Ch. 7.5 - Food Safety According to a University of Maryland...Ch. 7.5 - Food Safety According to the study mentioned in...Ch. 7.5 - Food Safety According to the study mentioned in...Ch. 7.5 - Food Safety According to the study mentioned in...Ch. 7.5 - Ultimate Hockey Cyber Video Games, Inc., the...Ch. 7.5 - Ultimate Hockey (See Exercise 97.) Cyber Video...Ch. 7.5 - The probability of misspelling Waner is p and is...Ch. 7.5 - The probability of spelling Waner correctly is p,...Ch. 7.5 - Name three events, each independent of the others,...Ch. 7.5 - Name three pairs of independent events when a pair...Ch. 7.5 - You wish to ascertain the probability of an event...Ch. 7.5 - Your television advertising campaign seems to have...Ch. 7.5 - You are having trouble persuading your friend...Ch. 7.5 - Your other friend Giuseppe is spreading rumors...Ch. 7.5 - If AB and P(B)0, why is P(A|B)=P(A)P(B)?Ch. 7.5 - If BA and P(B)0, why is P(A|B)=1?Ch. 7.5 - Your best friend thinks that it is impossible for...Ch. 7.5 - Another of your friends thinks that two mutually...Ch. 7.5 - Show that if A and B are independent, then so are...Ch. 7.5 - Show that if A and B are independent, then so are...Ch. 7.6 - In Exercises 18, use Bayes theorem or a tree...Ch. 7.6 - In Exercises 18, use Bayes theorem or a tree...Ch. 7.6 - In Exercises 18, use Bayes theorem or a tree...Ch. 7.6 - In Exercises 18, use Bayes theorem or a tree...Ch. 7.6 - In Exercises 18, use Bayes theorem or a tree...Ch. 7.6 - In Exercises 18, use Bayes theorem or a tree...Ch. 7.6 - In Exercises 18, use Bayes theorem or a tree...Ch. 7.6 - In Exercises 18, use Bayes theorem or a tree...Ch. 7.6 - Music Downloading According to a study on the...Ch. 7.6 - Music Downloading According to the study cited in...Ch. 7.6 - Weather It snows in Greenland an average of once...Ch. 7.6 - Weather It rains in Spain an average of once every...Ch. 7.6 - University Admissions In fall 2014, 34% of...Ch. 7.6 - University Admissions In fall 2014, 71% of...Ch. 7.6 - Side-Impact Hazard In 2004, 45.4% of all light...Ch. 7.6 - Side-Impact Hazard In 2004, 27.3% of all light...Ch. 7.6 - Athletic Fitness Tests Any athlete who fails the...Ch. 7.6 - Academic Testing Professor Frank Nabarro insists...Ch. 7.6 - Side-Impact Hazard (Compare Exercise 15.) In 2004,...Ch. 7.6 - Side-Impact Hazard In 1986, 23.9% of all light...Ch. 7.6 - University Admissions In fall 2008, UCLA admitted...Ch. 7.6 - University Admissions In fall 2002, UCLA admitted...Ch. 7.6 - Internet Use (Historical) In 2000, 86% of all...Ch. 7.6 - Internet Use (Historical) In 2000, 59% of all...Ch. 7.6 - Market Surveys A New York Times survey of...Ch. 7.6 - Crime and Preschool. A New York Times survey82 of...Ch. 7.6 - Grade Complaints Two of the mathematics professors...Ch. 7.6 - Weather Prediction A local TV station employs...Ch. 7.6 - Employment in the 1980s In a 1987 survey of...Ch. 7.6 - Employment in the 1980s Repeat Exercise 29 in the...Ch. 7.6 - Juvenile Delinquency According to a study at the...Ch. 7.6 - Crime According to the same study at the Oregon...Ch. 7.6 - Benefits of Exercise According to a study in The...Ch. 7.6 - Benefits of Exercise Repeat Exercise 33 assuming...Ch. 7.6 - Air Bag Safety According to a 2000 study conducted...Ch. 7.6 - Air BagSafety According to the study cited in...Ch. 7.6 - Your friend claims that the probability of A given...Ch. 7.6 - Complete the following sentence. To use Bayes...Ch. 7.6 - Give an example in which a steroids test gives a...Ch. 7.6 - Give an example in which a steroids test gives a...Ch. 7.6 - Use a tree to derive the expanded form of Bayes...Ch. 7.6 - Write down an expanded form of Bayes theorem that...Ch. 7.6 - Politics The following letter appeared in The New...Ch. 7.6 - Politics Refer back to Exercise 43. If the letter...Ch. 7.7 - In Exercises 110, write down the transition matrix...Ch. 7.7 - In Exercises 110, write down the transition matrix...Ch. 7.7 - In Exercises 110, write down the transition matrix...Ch. 7.7 - In Exercises 110, write down the transition matrix...Ch. 7.7 - In Exercises 110, write down the transition matrix...Ch. 7.7 - In Exercises 110, write down the transition matrix...Ch. 7.7 - In Exercises 110, write down the transition matrix...Ch. 7.7 - In Exercises 110, write down the transition matrix...Ch. 7.7 - In Exercises 110, write down the transition matrix...Ch. 7.7 - In Exercises 110, write down the transition matrix...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 1124, you are given a transition...Ch. 7.7 - In Exercises 2536, you are given a transition...Ch. 7.7 - In Exercises 2536, you are given a transition...Ch. 7.7 - In Exercises 2536, you are given a transition...Ch. 7.7 - In Exercises 2536, you are given a transition...Ch. 7.7 - In Exercises 2536, you are given a transition...Ch. 7.7 - In Exercises 2536, you are given a transition...Ch. 7.7 - In Exercises 2536, you are given a transition...Ch. 7.7 - In Exercises 2536, you are given a transition...Ch. 7.7 - In Exercises 2536, you are given a transition...Ch. 7.7 - In Exercises 2536, you are given a transition...Ch. 7.7 - In Exercises 2536, you are given a transition...Ch. 7.7 - In Exercises 2536, you are given a transition...Ch. 7.7 - Marketing A market survey shows that half the...Ch. 7.7 - Major Switching At Suburban Community College, 10%...Ch. 7.7 - Pest Control In an experiment to test the...Ch. 7.7 - Employment You have worked for the Department of...Ch. 7.7 - Risk Analysis An auto insurance company classifies...Ch. 7.7 - Debt Analysis A credit card company classifies its...Ch. 7.7 - Textbook Adoptions College instructors who adopt...Ch. 7.7 - Confidence Level Tommy the Dunkers performance on...Ch. 7.7 - Debt Analysis As the manager of a large retailing...Ch. 7.7 - Debt Analysis Repeat Exercise 45 using the...Ch. 7.7 - Market Share: Cell Phones Three of the largest...Ch. 7.7 - Dissipation Consider the following five-state...Ch. 7.7 - Dissipation with Drift Consider the following...Ch. 7.7 - Describe an interesting situation that can be...Ch. 7.7 - Describe an interesting situation that can be...Ch. 7.7 - Describe some drawbacks to using Markov processes...Ch. 7.7 - Can the repeated toss of a fair coin be modeled by...Ch. 7.7 - Explain: If Q is a matrix whose rows are...Ch. 7.7 - Construct a four-state Markov system so that both...Ch. 7.7 - Refer to the following state transition diagram,...Ch. 7.7 - Without doing any calculation, find the...Ch. 7.7 - Construct a regular state transition diagram that...Ch. 7.7 - Construct a regular state transition diagram that...Ch. 7.7 - Show that if a Markov system has two distinct...Ch. 7.7 - If higher and higher powers of P approach a fixed...Ch. 7 - In Exercises 16, say how many elements are in the...Ch. 7 - In Exercises 16, say how many elements are in the...Ch. 7 - In Exercises 16, say how many elements are in the...Ch. 7 - In Exercises 16, say how many elements are in the...Ch. 7 - In Exercises 16, say how many elements are in the...Ch. 7 - In Exercises 16, say how many elements are in the...Ch. 7 - In Exercises 710, calculate the relative frequency...Ch. 7 - In Exercises 710, calculate the relative frequency...Ch. 7 - In Exercises 710, calculate the relative frequency...Ch. 7 - In Exercises 710, calculate the relative frequency...Ch. 7 - In Exercises 1114, calculate the probability P(E)....Ch. 7 - In Exercises 1114, calculate the probability P(E)....Ch. 7 - In Exercises 1114, calculate the probability P(E)....Ch. 7 - In Exercises 1114, calculate the probability P(E)....Ch. 7 - A bag contains four red marbles, two green ones,...Ch. 7 - A bag contains four red marbles, two green ones,...Ch. 7 - A bag contains four red marbles, two green ones,...Ch. 7 - A bag contains four red marbles, two green ones,...Ch. 7 - A bag contains four red marbles, two green ones,...Ch. 7 - A bag contains four red marbles, two green ones,...Ch. 7 - In Exercises 2126, find the probability of being...Ch. 7 - In Exercises 2126, find the probability of being...Ch. 7 - In Exercises 2126, find the probability of being...Ch. 7 - In Exercises 2126, find the probability of being...Ch. 7 - In Exercises 2126, find the probability of being...Ch. 7 - In Exercises 2126, find the probability of being...Ch. 7 - Two dice, one green and one yellow, are rolled. In...Ch. 7 - Two dice, one green and one yellow, are rolled. In...Ch. 7 - Two dice, one green and one yellow, are rolled. In...Ch. 7 - Two dice, one green and one yellow, are rolled. In...Ch. 7 - Two dice, one green and one yellow, are rolled. In...Ch. 7 - Two dice, one green and one yellow, are rolled. In...Ch. 7 - A poll shows that half the consumers who use Brand...Ch. 7 - A poll shows that half the consumers who use Brand...Ch. 7 - A poll shows that half the consumers who use Brand...Ch. 7 - A poll shows that half the consumers who use Brand...Ch. 7 - Inventory OHaganBooks.com currently operates three...Ch. 7 - Inventory OHaganBooks.com currently operates three...Ch. 7 - Inventory OHaganBooks.com currently operates three...Ch. 7 - Inventory OHaganBooks.com currently operates three...Ch. 7 - Inventory OHaganBooks.com currently operates three...Ch. 7 - Inventory OHaganBooks.com currently operates three...Ch. 7 - Marketing To gauge the effectiveness of the...Ch. 7 - Marketing To gauge the effectiveness of the...Ch. 7 - Marketing To gauge the effectiveness of the...Ch. 7 - Marketing To gauge the effectiveness of the...Ch. 7 - Marketing To gauge the effectiveness of the...Ch. 7 - Marketing To gauge the effectiveness of the...Ch. 7 - Marketing To gauge the effectiveness of the...Ch. 7 - Marketing To gauge the effectiveness of the...Ch. 7 - Sales According to statistics gathered by...Ch. 7 - Sales Repeat Exercise 51 in the event that 1% of...Ch. 7 - University Admissions In the year when Billy-Sean...Ch. 7 - University Admissions Billy-Sean OHagan had also...Ch. 7 - Competition As was mentioned earlier,...Ch. 7 - Competition As was mentioned earlier,...Ch. 7 - Competition As was mentioned earlier,...Ch. 7 - Competition As was mentioned earlier,...

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