Mathematics All Around, Books a la carte edition (6th Edition)
Mathematics All Around, Books a la carte edition (6th Edition)
6th Edition
ISBN: 9780134462448
Author: Pirnot, Tom
Publisher: PEARSON
bartleby

Concept explainers

Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axi…
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between…
bartleby

Videos

Textbook Question
Book Icon
Chapter 13.3, Problem 1E

In Exercises 1–4, assume that we are rolling two fair dice. First compute P ( F ) and then P ( F | E ) . Explain why you would expect the probability of F to change as it did when we added the condition that E had occurred.

E—an odd total shows on the dice.

F—the total is seven.

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 13.2, Problem 54E
Next
Chapter 13.3, Problem 2E
Students have asked these similar questions
A rug company weaves rugs that are made by repeating the design in Figure 12.49. Lengths of portions of the design are indicated in the figure. The yarn for the shaded portion of the design costs $5 per square unit, and the yarn for the unshaded portion of the design costs $3 per square unit. How much will the yarn for a 60-unit-by-84-unit rug cost? Explain your reasoning.
Consider an economy with three sectors, Chemicals & Metals, Fuels & Power, and Machinery. Chemicals sells 30% of its output to Fuels and 60% to Machinery and retains the rest. Fuels sells 70% of its output to Chemicals and 20% to Machinery and retains the rest. Machinery sells 40% of its output to Chemicals and 30% to Fuels and retains the rest. Complete parts (a) through (c) below a. Construct the exchange table for this economy. Distribution of Output from: Chemicals Fuels Machinery (Type integers or decimals.) Purchased by: Chemicals Fuels Machinery
A particle travels along a straight line path given by s=9.5t3-2.2t2-4.5t+9.9 (in meters). What time does it change direction? Report the higher of the answers to the nearest 2 decimal places in seconds.

Chapter 13 Solutions

Mathematics All Around, Books a la carte edition (6th Edition)

Ch. 13.1 - In Exercises 14 , write each event as a set of...Ch. 13.1 - In Exercises 14 , write each event as a set of...Ch. 13.1 - In Exercises 14 , write each event as a set of...Ch. 13.1 - Prob. 4ECh. 13.1 - In Exercises 58, use the given spinner to write...Ch. 13.1 - Prob. 6ECh. 13.1 - In Exercises 58, use the given spinner to write...Ch. 13.1 - In Exercises 58, use the given spinner to write...Ch. 13.1 - We are rolling two four-sided dice having the...Ch. 13.1 - We are rolling two four-sided dice. One die has...
Ch. 13.1 - Singers E nrique, K aty, R ihanna, and B runo are...Ch. 13.1 - We are flipping four coins. Outcomes in the sample...Ch. 13.1 - An experimenter testing for extrasensory...Ch. 13.1 - Choosing seats in a theater. Amy and Louisa are...Ch. 13.1 - In Exercises 1518, a Find the probability of the...Ch. 13.1 - In Exercises 1518, a Find the probability of the...Ch. 13.1 - In Exercises 1518, a Find the probability of the...Ch. 13.1 - Prob. 18ECh. 13.1 - In Exercises 1922, assume that we are drawing a...Ch. 13.1 - Prob. 20ECh. 13.1 - In Exercises 1922, assume that we are drawing a...Ch. 13.1 - Prob. 22ECh. 13.1 - The residents of a small town and the surrounding...Ch. 13.1 - The residents of a small town and the surrounding...Ch. 13.1 - Applying What Youve Learned The residents of a...Ch. 13.1 - Applying What Youve Learned The residents of a...Ch. 13.1 - Gender and probability. In a given year, 2,048,861...Ch. 13.1 - Playing a carnival game. A fish pond at a carnival...Ch. 13.1 - Selecting cookies. In Exercises 2932, a cookie is...Ch. 13.1 - Selecting cookies. In Exercises 2932, a cookie is...Ch. 13.1 - Selecting cookies. In Exercises 2932, a cookie is...Ch. 13.1 - Prob. 32ECh. 13.1 - Genetics. The following table lists some of the...Ch. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - In cross-breeding snapdragons, Mendel found that...Ch. 13.1 - In cross-breeding snapdragons, Mendel found that...Ch. 13.1 - Cystic fibrosis. Cystic fibrosis is a serious...Ch. 13.1 - Cystic fibrosis. From the Punnett square in...Ch. 13.1 - For Exercises 4144, assume that a dart is thrown...Ch. 13.1 - For Exercises 4144, assume that a dart is thrown...Ch. 13.1 - Prob. 43ECh. 13.1 - Prob. 44ECh. 13.1 - Grades and living arrangements. Assume that the...Ch. 13.1 - Prob. 46ECh. 13.1 - Use this replica of the Monopoly game board to...Ch. 13.1 - Prob. 48ECh. 13.1 - Prob. 49ECh. 13.1 - Prob. 50ECh. 13.1 - Prob. 51ECh. 13.1 - Prob. 52ECh. 13.1 - Prob. 53ECh. 13.1 - Prob. 54ECh. 13.1 - Use spinners A, B, and C below to do Exercises 55...Ch. 13.1 - Use spinners A, B, and C below to do Exercises 55...Ch. 13.1 - In horse racing, a trifecta is a race in which you...Ch. 13.1 - In horse racing, a trifecta is a race in which you...Ch. 13.1 - If the odds against event E are 5 to 2, what is...Ch. 13.1 - If P(E)=0.45, then what are the odds against E?Ch. 13.1 - Prob. 61ECh. 13.1 - Prob. 62ECh. 13.1 - Prob. 63ECh. 13.1 - Prob. 64ECh. 13.1 - The casino game of craps is played by a person...Ch. 13.1 - Prob. 66ECh. 13.1 - Winning at Powerball. Research and find the...Ch. 13.1 - Prob. 68ECh. 13.1 - Prob. 69ECh. 13.1 - Prob. 70ECh. 13.1 - Prob. 71ECh. 13.1 - Prob. 72ECh. 13.1 - Prob. 73ECh. 13.1 - Explain the difference between the probability of...Ch. 13.1 - Prob. 75ECh. 13.1 - Prob. 76ECh. 13.1 - Prob. 77ECh. 13.1 - Prob. 78ECh. 13.1 - Prob. 79ECh. 13.1 - Prob. 80ECh. 13.1 - a. Flip a coin 100 times. How do your empirical...Ch. 13.1 - Prob. 83ECh. 13.2 - In Exercises 18, use the complement formula to...Ch. 13.2 - In Exercises 18, use the complement formula to...Ch. 13.2 - In Exercises 18, use the complement formula to...Ch. 13.2 - In Exercises 18, use the complement formula to...Ch. 13.2 - In Exercises 58, consider the complement of the...Ch. 13.2 - In Exercises 58, consider the complement of the...Ch. 13.2 - In Exercises 58, consider the complement of the...Ch. 13.2 - In Exercises 58, consider the complement of the...Ch. 13.2 - Drawing cards. If a single card is drawn from a...Ch. 13.2 - Drawing cards. If a single card is drawn from a...Ch. 13.2 - Probability and the weather. If the probability of...Ch. 13.2 - Prob. 12ECh. 13.2 - In Exercises 1316, assume that A and B are events....Ch. 13.2 - In Exercises 1316, assume that A and B are events....Ch. 13.2 - In Exercises 1316, assume that A and B are events....Ch. 13.2 - In Exercises 1316, assume that A and B are events....Ch. 13.2 - Assume that P(A)=0.45,P(AB)=0.15, and the...Ch. 13.2 - Prob. 18ECh. 13.2 - Use the following table from the U.S. Bureau of...Ch. 13.2 - Use the following table from the U.S. Bureau of...Ch. 13.2 - Income and internet usage. Use the following table...Ch. 13.2 - Income and internet usage. Use the following table...Ch. 13.2 - Income and internet usage. Use the following table...Ch. 13.2 - Income and internet usage. Use the following table...Ch. 13.2 - Part-time work and time to graduate. The following...Ch. 13.2 - Prob. 26ECh. 13.2 - Part-time work and time to graduate. The following...Ch. 13.2 - Prob. 28ECh. 13.2 - If we draw a card from a standard 52-card deck,...Ch. 13.2 - Prob. 30ECh. 13.2 - Prob. 31ECh. 13.2 - Predicting final exam questions. From studying...Ch. 13.2 - A college administration has conducted a study of...Ch. 13.2 - A college administration has conducted a study of...Ch. 13.2 - A college administration has conducted a study of...Ch. 13.2 - A college administration has conducted a study of...Ch. 13.2 - Selling defective cameras. A manufacturer has...Ch. 13.2 - Winning a raffle. The 35-member college ski club...Ch. 13.2 - Serving spoiled food. The Sashimi restaurant has...Ch. 13.2 - Winning a prize. Eighteen students are being...Ch. 13.2 - Prob. 41ECh. 13.2 - Prob. 42ECh. 13.2 - Prob. 43ECh. 13.2 - If P(EF)=P(E)+P(F), what can you conclude about...Ch. 13.2 - Prob. 45ECh. 13.2 - Prob. 46ECh. 13.2 - Prob. 47ECh. 13.2 - Prob. 48ECh. 13.2 - Prob. 49ECh. 13.2 - Prob. 50ECh. 13.2 - Prob. 51ECh. 13.2 - Prob. 52ECh. 13.2 - Prob. 53ECh. 13.2 - Prob. 54ECh. 13.3 - In Exercises 14, assume that we are rolling two...Ch. 13.3 - In Exercises 14, assume that we are rolling two...Ch. 13.3 - In Exercises 14, assume that we are rolling two...Ch. 13.3 - In Exercises 14, assume that we are rolling two...Ch. 13.3 - In Exercises 58, we are drawing a single card from...Ch. 13.3 - In Exercises 58, we are drawing a single card from...Ch. 13.3 - In Exercises 58, we are drawing a single card from...Ch. 13.3 - In Exercises 58, we are drawing a single card from...Ch. 13.3 - You are to randomly pick one disk from a bag that...Ch. 13.3 - You are to randomly pick one disk from a bag that...Ch. 13.3 - You are to randomly pick one disk from a bag that...Ch. 13.3 - You are to randomly pick one disk from a bag that...Ch. 13.3 - You are to randomly pick one disk from a bag that...Ch. 13.3 - You are to randomly pick one disk from a bag that...Ch. 13.3 - Probability and drawing cards. In Exercises 1520,...Ch. 13.3 - Probability and drawing cards. In Exercises 1520,...Ch. 13.3 - Probability and drawing cards. In Exercises 1520,...Ch. 13.3 - Prob. 18ECh. 13.3 - Probability and drawing cards. In Exercises 1520,...Ch. 13.3 - Prob. 20ECh. 13.3 - Prob. 21ECh. 13.3 - We are drawing 2 cards with replacement from a...Ch. 13.3 - For Exercises 2326, assume that you are drawing...Ch. 13.3 - For Exercises 2326, assume that you are drawing...Ch. 13.3 - For Exercises 2326, assume that you are drawing...Ch. 13.3 - For Exercises 2326, assume that you are drawing...Ch. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - Prob. 30ECh. 13.3 - The editors of Auto Web have evaluated several E...Ch. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - Prob. 34ECh. 13.3 - Prob. 35ECh. 13.3 - Prob. 36ECh. 13.3 - Prob. 37ECh. 13.3 - Prob. 38ECh. 13.3 - Prob. 39ECh. 13.3 - In Exercises 3540, an experiment and two events...Ch. 13.3 - According to U.S. government statistics,...Ch. 13.3 - Prob. 42ECh. 13.3 - According to U.S. government statistics,...Ch. 13.3 - Prob. 44ECh. 13.3 - Probability and political preferences. The...Ch. 13.3 - Prob. 46ECh. 13.3 - Probability and political preferences. The...Ch. 13.3 - Prob. 48ECh. 13.3 - Prob. 49ECh. 13.3 - Prob. 50ECh. 13.3 - Prob. 51ECh. 13.3 - Prob. 52ECh. 13.3 - Prob. 53ECh. 13.3 - Prob. 54ECh. 13.3 - Prob. 55ECh. 13.3 - Prob. 56ECh. 13.3 - Selecting a dormitory room. Exercises 57 and 58...Ch. 13.3 - Prob. 58ECh. 13.3 - Prob. 59ECh. 13.3 - Prob. 60ECh. 13.3 - Prob. 61ECh. 13.3 - Prob. 62ECh. 13.3 - Prob. 63ECh. 13.3 - Prob. 64ECh. 13.3 - Product reliability. You want to purchase a DVD...Ch. 13.3 - Prob. 66ECh. 13.3 - Product reliability. You want to purchase a DVD...Ch. 13.3 - Prob. 68ECh. 13.3 - Prob. 69ECh. 13.3 - Prob. 70ECh. 13.3 - Prob. 71ECh. 13.3 - Prob. 72ECh. 13.3 - Prob. 73ECh. 13.3 - Prob. 74ECh. 13.3 - Prob. 75ECh. 13.3 - Prob. 76ECh. 13.3 - Prob. 77ECh. 13.3 - Prob. 78ECh. 13.3 - Prob. 79ECh. 13.3 - Prob. 80ECh. 13.3 - Prob. 81ECh. 13.3 - Prob. 82ECh. 13.3 - Prob. 83ECh. 13.4 - In Exercises 1 and 2, we give the probabilities...Ch. 13.4 - In Exercises 1 and 2, we give the probabilities...Ch. 13.4 - In Exercises 3 and 4, you are playing a game in...Ch. 13.4 - In Exercises 3 and 4, you are playing a game in...Ch. 13.4 - In Exercises 5and 6, you pay 1 to play a game in...Ch. 13.4 - Prob. 6ECh. 13.4 - Prob. 7ECh. 13.4 - Prob. 8ECh. 13.4 - In Exercises 912, first calculate the expected...Ch. 13.4 - Prob. 10ECh. 13.4 - In Exercises 912, first calculate the expected...Ch. 13.4 - In Exercises 912, first calculate the expected...Ch. 13.4 - Evaluating a franchises profits. Grace Adler is...Ch. 13.4 - Prob. 14ECh. 13.4 - Prob. 15ECh. 13.4 - In Exercises 1518, we describe several ways to bet...Ch. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - In Exercises 1922, a student is taking the GRE,...Ch. 13.4 - Prob. 20ECh. 13.4 - In Exercises 1922, a student is taking the GRE,...Ch. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Assume that you have 10,000 to invest in stocks,...Ch. 13.4 - Prob. 25ECh. 13.4 - Assume that you have 10,000 to invest in stocks,...Ch. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Your insurance company has a policy to insure...Ch. 13.4 - Assume that you have a used car worth 6,500 and...Ch. 13.4 - A company estimates that it has a 60 chance of...Ch. 13.4 - Prob. 32ECh. 13.4 - Prob. 33ECh. 13.4 - Prob. 34ECh. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - Beating the lottery. Search online for...Ch. 13.4 - Prob. 39ECh. 13.4 - Estimating daily profit. Mike sells the Town...Ch. 13.4 - Prob. 41ECh. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.4 - Prob. 44ECh. 13.5 - In Exercises 16, determine whether each experiment...Ch. 13.5 - Prob. 2ECh. 13.5 - Prob. 3ECh. 13.5 - Prob. 4ECh. 13.5 - Prob. 5ECh. 13.5 - Prob. 6ECh. 13.5 - Prob. 7ECh. 13.5 - Prob. 8ECh. 13.5 - Prob. 9ECh. 13.5 - Prob. 10ECh. 13.5 - Prob. 11ECh. 13.5 - Prob. 12ECh. 13.5 - Prob. 13ECh. 13.5 - Prob. 14ECh. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - Prob. 18ECh. 13.5 - Prob. 19ECh. 13.5 - Prob. 20ECh. 13.5 - Prob. 21ECh. 13.5 - Prob. 22ECh. 13.5 - Prob. 23ECh. 13.5 - Prob. 24ECh. 13.5 - Prob. 25ECh. 13.5 - Assume that a child is buying packages of candy...Ch. 13.5 - Prob. 27ECh. 13.5 - Prob. 28ECh. 13.5 - Prob. 29ECh. 13.5 - Prob. 30ECh. 13.CR - 1. Describe each event as a set of outcomes. a....Ch. 13.CR - If a single card is selected from a standard...Ch. 13.CR - Explain the difference between empirical and...Ch. 13.CR - 4. In cross-breeding pea plants, Mendel found that...Ch. 13.CR - Prob. 5CRCh. 13.CR - Prob. 6CRCh. 13.CR - Prob. 7CRCh. 13.CR - Prob. 8CRCh. 13.CR - Explain in your own words what we mean by...Ch. 13.CR - Prob. 10CRCh. 13.CR - Prob. 11CRCh. 13.CR - Prob. 12CRCh. 13.CR - Prob. 13CRCh. 13.CR - Prob. 14CRCh. 13.CR - Prob. 15CRCh. 13.CR - You are playing a game in which four fair coins...Ch. 13.CR - Calculate B(8,3;12).Ch. 13.CR - Prob. 18CRCh. 13.CT - Describe each event as a set of outcomes. a. When...Ch. 13.CT - 2. If we select a single card from a standard...Ch. 13.CT - 3. a. If the odds against the Dolphins winning the...Ch. 13.CT - 4. If we draw a single card from a standard...Ch. 13.CT - Prob. 5CTCh. 13.CT - Prob. 6CTCh. 13.CT - Prob. 7CTCh. 13.CT - Prob. 8CTCh. 13.CT - Prob. 9CTCh. 13.CT - Prob. 10CTCh. 13.CT - Prob. 11CTCh. 13.CT - Prob. 12CTCh. 13.CT - It costs 2 to buy a raffle ticket. If there are...Ch. 13.CT - Prob. 14CTCh. 13.CT - 15. Assume that 2 cards are drawn without...

Additional Math Textbook Solutions

Find more solutions based on key concepts
147. Draining a tank Water drains from the conical tank shown in the accompanying figure at the rate . a. What...

University Calculus

Let F be a continuous distribution function. If U is uniformly distributed on (0,1), find the distribution func...

A First Course in Probability (10th Edition)

Find all solutions of each equation in the interval .

Precalculus: A Unit Circle Approach (3rd Edition)

In Exercises 9-20, use the data in the following table, which lists drive-thru order accuracy at popular fast f...

Elementary Statistics (13th Edition)

The largest polynomial that divides evenly into a list of polynomials is called the _______.

Elementary & Intermediate Algebra

For Problems 23-28, write in simpler form, as in Example 4. logbFG

Finite Mathematics for Business, Economics, Life Sciences and Social Sciences

Knowledge Booster
Background pattern image
Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
SEE MORE TEXTBOOKS
Bayes' Theorem 1: Introduction and conditional probability; Author: Dr Nic's Maths and Stats;https://www.youtube.com/watch?v=lQVkXfJ-rpU;License: Standard YouTube License, CC-BY
What is Conditional Probability | Bayes Theorem | Conditional Probability Examples & Problems; Author: ACADGILD;https://www.youtube.com/watch?v=MxOny_1y2Q4;License: Standard YouTube License, CC-BY
Bayes' Theorem of Probability With Tree Diagrams & Venn Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=OByl4RJxnKA;License: Standard YouTube License, CC-BY
Bayes' Theorem - The Simplest Case; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=XQoLVl31ZfQ;License: Standard Youtube License