Math in Our World
Math in Our World
3rd Edition
ISBN: 9780073519678
Author: David Sobecki Professor, Allan G. Bluman
Publisher: McGraw-Hill Education
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Concept explainers

Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Chapter 11.3, Problem 49E

The students at a university are classified by a 0 for freshman, a 1 for sophomores, a 2 for juniors, a 3 for seniors, and a 4 for graduate students. There are two extra scholarships to assign, so an administrator randomly selects from a box with only the numbers 0, 1, 2, 3, and 4 to choose the class of the first recipient. She then puts the number back into the box and randomly selects a number for the class of the second recipient. Find the sample space, and then find the probability of the following events:

(a)    An odd number is chosen first and an even number is chosen second. (Note: 0 is considered an even number.)

(b)    The sum of the two numbers selected is greater than 4.

(c)    For both selections, an even number is drawn.

(d)    The sum of the two numbers selected is odd.

(e)    The same number is drawn twice.

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Chapter 11 Solutions

Math in Our World

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Describe a situation related to the one in...Ch. 11.2 - Describe a situation where counting would require...Ch. 11.2 - Explain why it makes sense that nCr=nPrr!.Ch. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - For Exercises 922, evaluate each expression. 9.5C2Ch. 11.2 - For Exercises 922, evaluate each expression....Ch. 11.2 - For Exercises 922, evaluate each expression....Ch. 11.2 - For Exercises 922, evaluate each expression....Ch. 11.2 - For Exercises 922, evaluate each expression....Ch. 11.2 - For Exercises 922, evaluate each expression....Ch. 11.2 - For Exercises 922, evaluate each expression....Ch. 11.2 - For Exercises 922, evaluate each expression....Ch. 11.2 - For Exercises 922, evaluate each expression. 17....Ch. 11.2 - For Exercises 922, evaluate each expression....Ch. 11.2 - For Exercises 922, evaluate each expression....Ch. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - For Exercises 2330, find both the number of...Ch. 11.2 - For Exercises 2330, find both the number of...Ch. 11.2 - 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A couple has two children. Find the probability...Ch. 11.3 - On the Price Is Right game show, a contestant...Ch. 11.3 - A list contains the names of five anthropology...Ch. 11.3 - On a shelf at a gaming store, there are five Sony...Ch. 11.3 - If there are only 50 lottery tickets for the Big...Ch. 11.3 - In a math class of seven women and nine men, if...Ch. 11.3 - A recent survey reported that 67% of Americans...Ch. 11.3 - The Federal Bureau of Investigation reported that...Ch. 11.3 - Prob. 32ECh. 11.3 - In a survey, 16% of male college students said...Ch. 11.3 - Prob. 34ECh. 11.3 - Exercises 3538 refer to a standard deck of playing...Ch. 11.3 - Prob. 36ECh. 11.3 - Exercises 3538 refer to a standard deck of playing...Ch. 11.3 - Exercises 3538 refer to a standard deck of playing...Ch. 11.3 - A survey on campus revealed that 68% of the...Ch. 11.3 - A survey of 25 students in line during...Ch. 11.3 - On one college campus with 5,300 students, 31% are...Ch. 11.3 - There are 248 students in a large-lecture history...Ch. 11.3 - On a 10-question true/false test, there are seven...Ch. 11.3 - According to www.namestatistics.com. the five most...Ch. 11.3 - Many people blame Wall Street greed for causing...Ch. 11.3 - In December 2008, 500 men and 500 women were...Ch. 11.3 - In a survey conducted by Bank of America, college...Ch. 11.3 - Jockey International surveyed men to find out how...Ch. 11.3 - The students at a university are classified by a 0...Ch. 11.3 - Only six students attended a school charity event,...Ch. 11.3 - (a) Find the classical probability of rolling a...Ch. 11.3 - (a) Find the classical probability of rolling...Ch. 11.3 - Mike and Jose flip the same coin every day at work...Ch. 11.3 - When entering a chemistry class one semester, a...Ch. 11.4 - A soda machine dispenses both Coke and Pepsi...Ch. 11.4 - Prob. 2TTOCh. 11.4 - In order to collect information for a student...Ch. 11.4 - Prob. 4TTOCh. 11.4 - Prob. 5TTOCh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Three computers are chosen at random from an...Ch. 11.4 - Prob. 4ECh. 11.4 - After the incident in Exercise 4, the professor...Ch. 11.4 - Sara came across a new website that featured a...Ch. 11.4 - After a late night studying, Ebony decides to grab...Ch. 11.4 - A coin flip determines who gets the ball first at...Ch. 11.4 - Mark and Raul play three games of pool. They are...Ch. 11.4 - Frank, Sofia, Eldridge, and Jake are the four...Ch. 11.4 - The pool table in the student lounge is broken,...Ch. 11.4 - Akira wants to purchase his first new car and can...Ch. 11.4 - Kimberly goes onto Dells website to order a custom...Ch. 11.4 - To choose the order of bands for the finals of the...Ch. 11.4 - At the beginning of a magic trick, The Great...Ch. 11.4 - At a town fair, for one of the game booths...Ch. 11.4 - In between classes, Jade plays a game of online...Ch. 11.4 - During a charity Las Vegas Casino Night, Rosie...Ch. 11.4 - An online math quiz made up of true-false...Ch. 11.4 - To get past security at a club, potential patrons...Ch. 11.4 - Consider the sample space when three dice are...Ch. 11.4 - When three dice are rolled, how many ways can a...Ch. 11.4 - When three dice are rolled, find the probability...Ch. 11.4 - Prob. 24ECh. 11.4 - (a) We know that when flipping a coin, the...Ch. 11.4 - In the finals of an Angry Birds tournament, Bob is...Ch. 11.4 - Prob. 27ECh. 11.4 - Prob. 28ECh. 11.5 - There are 12 women and 8 men in a seminar course....Ch. 11.5 - Prob. 3TTOCh. 11.5 - Prob. 4TTOCh. 11.5 - Explain how combinations and permutations are...Ch. 11.5 - What is the biggest advantage of combinations and...Ch. 11.5 - A student-faculty government committee of 4 people...Ch. 11.5 - In a company there are seven executives: four...Ch. 11.5 - A city council consists of 10 members. 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What are the odds in favor of rolling a prime...Ch. 11.6 - Prob. 2TTOCh. 11.6 - Prob. 3TTOCh. 11.6 - Prob. 4TTOCh. 11.6 - If seven cards are numbered with integers from 2...Ch. 11.6 - With his house in foreclosure, a homeowner comes...Ch. 11.6 - Prob. 7TTOCh. 11.6 - Explain the difference between the odds in favor...Ch. 11.6 - Explain the numerical relationship between the...Ch. 11.6 - Prob. 3ECh. 11.6 - Explain how to find the probability of an event...Ch. 11.6 - Prob. 5ECh. 11.6 - Prob. 6ECh. 11.6 - Prob. 7ECh. 11.6 - Prob. 8ECh. 11.6 - Prob. 9ECh. 11.6 - Prob. 10ECh. 11.6 - Prob. 11ECh. 11.6 - In Exercises 712, find the odds in favor of and...Ch. 11.6 - In Exercises 1318, find the probability of each...Ch. 11.6 - In Exercises 1318, find the probability of each...Ch. 11.6 - In Exercises 1318, find the probability of each...Ch. 11.6 - In Exercises 1318, find the probability of each...Ch. 11.6 - In Exercises 1318, find the probability of each...Ch. 11.6 - In Exercises 1318, find the probability of each...Ch. 11.6 - In Exercises 1922, find the expected value of the...Ch. 11.6 - In Exercises 1922, find the expected value of the...Ch. 11.6 - In Exercises 1922, find the expected value of the...Ch. 11.6 - In Exercises 1922, find the expected value of the...Ch. 11.6 - In planning a gambling booth for a charity...Ch. 11.6 - If the game in Exercise 23 has players who roll...Ch. 11.6 - Steve shuffled a deck of 52 cards and asked Sally...Ch. 11.6 - Monica is trying to design a coin-flipping game...Ch. 11.6 - Your friends have taken bets on whether you will...Ch. 11.6 - Find the probability that you will win a Wii...Ch. 11.6 - If the odds against a horse winning a race are 9:5...Ch. 11.6 - A game show contestant rolls two dice and wins if...Ch. 11.6 - A roulette wheel has 38 numbers: 1 through 36, 0....Ch. 11.6 - A roulette wheel has 38 numbers: 1 through 36, 0,...Ch. 11.6 - A roulette wheel has 38 numbers: 1 through 36, 0,...Ch. 11.6 - A roulette wheel has 38 numbers: 1 through 36, 0,...Ch. 11.6 - A roulette wheel has 38 numbers: 1 through 36, 0,...Ch. 11.6 - A roulette wheel has 38 numbers: 1 through 36, 0,...Ch. 11.6 - When 150 people were surveyed by phone about their...Ch. 11.6 - When 150 people were surveyed by phone about their...Ch. 11.6 - When 150 people were surveyed by phone about their...Ch. 11.6 - When 150 people were surveyed by phone about their...Ch. 11.6 - When 150 people were surveyed by phone about their...Ch. 11.6 - When 150 people were surveyed by phone about their...Ch. 11.6 - In sports betting odds are often given in terms of...Ch. 11.6 - In sports betting odds are often given in terms of...Ch. 11.6 - The University of Kentucky won the 2012 mens NCAA...Ch. 11.6 - The University of Kentucky won the 2012 mens NCAA...Ch. 11.6 - The University of Kentucky won the 2012 mens NCAA...Ch. 11.6 - The University of Kentucky won the 2012 mens NCAA...Ch. 11.6 - The University of Kentucky won the 2012 mens NCAA...Ch. 11.6 - The University of Kentucky won the 2012 mens NCAA...Ch. 11.6 - A cash prize of 5,000 is to be awarded at a...Ch. 11.6 - You start your shift as a cashier with your drawer...Ch. 11.6 - In a scratch-off game, if you scratch the two dice...Ch. 11.6 - Prob. 54ECh. 11.6 - Melinda buys one raffle ticket at the Spring Fling...Ch. 11.6 - If Melinda buys two tickets to the raffle in...Ch. 11.6 - For a daily lottery, players pick any three-digit...Ch. 11.6 - If a 60-year-old buys a 1,000 life insurance...Ch. 11.6 - A new flat-screen TV comes with a 1-year warranty...Ch. 11.6 - Prob. 60ECh. 11.6 - Prob. 61ECh. 11.6 - Prob. 62ECh. 11.6 - Prob. 64ECh. 11.6 - Prob. 65ECh. 11.6 - Youre given the option of investing 10,000 in one...Ch. 11.7 - If student government picks students at random to...Ch. 11.7 - A liberal arts math class contains 7 freshmen, 11...Ch. 11.7 - At a political rally, there are 20 Republicans, 13...Ch. 11.7 - In rolling two dice, find the probability that the...Ch. 11.7 - A card is drawn from an ordinary deck. Find the...Ch. 11.7 - When two dice are rolled, find the probability...Ch. 11.7 - In one class, there are 15 freshmen and 10...Ch. 11.7 - Explain how to tell if two events are mutually...Ch. 11.7 - Explain the difference between the two addition...Ch. 11.7 - For Exercises 310, decide if the events are...Ch. 11.7 - For Exercises 310, decide if the events are...Ch. 11.7 - For Exercises 310, decide if the events are...Ch. 11.7 - For Exercises 310, decide if the events are...Ch. 11.7 - For Exercises 310, decide if the events are...Ch. 11.7 - For Exercises 310, decide if the events are...Ch. 11.7 - For Exercises 310, decide if the events are...Ch. 11.7 - Prob. 10ECh. 11.7 - A young couple is arguing about what month they...Ch. 11.7 - At the animal shelter where Miguel volunteers on...Ch. 11.7 - Prob. 13ECh. 11.7 - Prob. 14ECh. 11.7 - Prob. 15ECh. 11.7 - Prob. 16ECh. 11.7 - On a small college campus, there are five English...Ch. 11.7 - Prob. 18ECh. 11.7 - In a statistics class there are 18 juniors and 10...Ch. 11.7 - A cell phone company gets a really good deal on...Ch. 11.7 - BlueFly.com, an online designer clothing...Ch. 11.7 - Prob. 22ECh. 11.7 - A grocery store employs cashiers, stock clerks,...Ch. 11.7 - Students were surveyed on campus about their study...Ch. 11.7 - Prob. 25ECh. 11.7 - A local postal carrier distributed first-class...Ch. 11.7 - Prob. 27ECh. 11.7 - Before a Walk for the Cure 10-mile walk,...Ch. 11.7 - Prob. 29ECh. 11.7 - In another dice game, you begin by rolling three...Ch. 11.7 - Prob. 31ECh. 11.7 - Prob. 32ECh. 11.7 - At Big Tonys Pizzas and Loans, 45% of customers...Ch. 11.7 - Prob. 34ECh. 11.7 - Prob. 35ECh. 11.7 - Prob. 36ECh. 11.7 - Use a Venn diagram to demonstrate the addition...Ch. 11.7 - Prob. 38ECh. 11.7 - Prob. 39ECh. 11.7 - Prob. 40ECh. 11.7 - Prob. 41ECh. 11.7 - Prob. 42ECh. 11.8 - If the probability of your alarm not going off is...Ch. 11.8 - Prob. 2TTOCh. 11.8 - Prob. 3TTOCh. 11.8 - The Princeton Review also reported that just 29%...Ch. 11.8 - Prob. 5TTOCh. 11.8 - Prob. 6TTOCh. 11.8 - Prob. 7TTOCh. 11.8 - Prob. 8TTOCh. 11.8 - What is the difference between independent and...Ch. 11.8 - Prob. 2ECh. 11.8 - Prob. 3ECh. 11.8 - Prob. 4ECh. 11.8 - Prob. 5ECh. 11.8 - Prob. 6ECh. 11.8 - Prob. 7ECh. 11.8 - In Exercises 714, decide whether the events are...Ch. 11.8 - In Exercises 714, decide whether the events are...Ch. 11.8 - In Exercises 714, decide whether the events are...Ch. 11.8 - In Exercises 714, decide whether the events are...Ch. 11.8 - In Exercises 714, decide whether the events are...Ch. 11.8 - Prob. 13ECh. 11.8 - In Exercises 714, decide whether the events are...Ch. 11.8 - On one large campus, 18% of students surveyed said...Ch. 11.8 - Prob. 16ECh. 11.8 - Prob. 17ECh. 11.8 - Prob. 18ECh. 11.8 - If 25% of Michaels graduating class are not U.S....Ch. 11.8 - Prob. 20ECh. 11.8 - Prob. 21ECh. 11.8 - Prob. 22ECh. 11.8 - If half of Americans believe that the federal...Ch. 11.8 - What is the probability that a husband, wife, and...Ch. 11.8 - Prob. 25ECh. 11.8 - Prob. 26ECh. 11.8 - The Federal Bureau of Investigation reported the...Ch. 11.8 - The Federal Bureau of Investigation reported the...Ch. 11.8 - Prob. 29ECh. 11.8 - Prob. 30ECh. 11.8 - Prob. 31ECh. 11.8 - Prob. 32ECh. 11.8 - The U.S. Energy Information Administration...Ch. 11.8 - The U.S. Energy Information Administration...Ch. 11.8 - The U.S. Energy Information Administration...Ch. 11.8 - Prob. 36ECh. 11.8 - In a department store there are 120 customers, 90...Ch. 11.8 - During a game of online hearts, three cards are...Ch. 11.8 - In a group of eight Olympic track stars, five are...Ch. 11.8 - In a class consisting of 15 men and 12 women, two...Ch. 11.8 - Prob. 41ECh. 11.8 - Prob. 42ECh. 11.8 - Prob. 43ECh. 11.8 - Prob. 44ECh. 11.8 - A computer randomly deals an ordinary deck of...Ch. 11.8 - Prob. 46ECh. 11.8 - Use this information for Exercises 4750. Three red...Ch. 11.8 - Prob. 48ECh. 11.8 - Prob. 49ECh. 11.8 - Prob. 50ECh. 11.8 - Prob. 51ECh. 11.8 - Prob. 52ECh. 11.8 - Use the following information for Exercises 5154....Ch. 11.8 - Prob. 54ECh. 11.8 - The table below shows the number of active-duty...Ch. 11.8 - The table below shows the number of active-duty...Ch. 11.8 - The table below shows the number of active-duty...Ch. 11.8 - The table below shows the number of active-duty...Ch. 11.8 - (a)Use the multiplication rule for two independent...Ch. 11.8 - Suppose that I roll two dice and tell you that the...Ch. 11.8 - Prob. 61ECh. 11.8 - Classify each statement as sensible or silly, and...Ch. 11.9 - Decide whether or not each experiment is a...Ch. 11.9 - Prob. 2TTOCh. 11.9 - If a different patient at the rehab center in...Ch. 11.9 - Prob. 4TTOCh. 11.9 - Prob. 5TTOCh. 11.9 - What are the four requirements for a probability...Ch. 11.9 - Prob. 2ECh. 11.9 - Prob. 3ECh. 11.9 - Prob. 4ECh. 11.9 - Prob. 5ECh. 11.9 - Find the probability of each using the binary...Ch. 11.9 - Prob. 7ECh. 11.9 - Prob. 8ECh. 11.9 - Prob. 9ECh. 11.9 - Prob. 10ECh. 11.9 - Prob. 11ECh. 11.9 - Prob. 12ECh. 11.9 - Prob. 13ECh. 11.9 - Prob. 14ECh. 11.9 - Prob. 15ECh. 11.9 - Find the probability of each using the binary...Ch. 11.9 - Find the probability of each using the binary...Ch. 11.9 - Find the probability of each using the binary...Ch. 11.9 - During a game of Yahtzee, a player needs three...Ch. 11.9 - A cooler held three energy drinks. One was a...Ch. 11.9 - Of all identity thefts, 27% are solved in 1 day or...Ch. 11.9 - Prob. 22ECh. 11.9 - Prob. 23ECh. 11.9 - Prob. 24ECh. 11.9 - Prob. 25ECh. 11.9 - Prob. 26ECh. 11.9 - Prob. 27ECh. 11.9 - Prob. 28ECh. 11.9 - Prob. 29ECh. 11.9 - Prob. 30ECh. 11.9 - Prob. 31ECh. 11.9 - A survey done by Harris found that 40% of the...Ch. 11.9 - Prob. 33ECh. 11.9 - Prob. 34ECh. 11.9 - Prob. 35ECh. 11.9 - Prob. 36ECh. 11.9 - Prob. 37ECh. 11.9 - Prob. 38ECh. 11.9 - Prob. 39ECh. 11.9 - In Exercises 3947, decide if the experiment or...Ch. 11.9 - Prob. 41ECh. 11.9 - Prob. 42ECh. 11.9 - Prob. 43ECh. 11.9 - Prob. 44ECh. 11.9 - In Exercises 3947, decide if the experiment or...Ch. 11.9 - Prob. 46ECh. 11.9 - Prob. 47ECh. 11 - Compute 141111.Ch. 11 - Compute 12P6.Ch. 11 - An automobile license plate consists of three...Ch. 11 - How many different arrangements of the letters in...Ch. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Compute 9C6.Ch. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - How many ways can five different television...Ch. 11 - Prob. 13RECh. 11 - How many different ways can a buyer pick four...Ch. 11 - Which of the following numbers could represent a...Ch. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - In a survey conducted at the food court in a local...Ch. 11 - If a die is rolled one time, find these...Ch. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - When two dice are rolled, find the probability of...Ch. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - An investor has six bond accounts, three stock...Ch. 11 - A newspaper advertises live different movies,...Ch. 11 - In putting together the music lineup for an...Ch. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - In Exercises 3840, decide if the two events are...Ch. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - If one of the 50 states is selected at random to...Ch. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - A Gallup Poll found that 78% of Americans worry...Ch. 11 - Prob. 49RECh. 11 - Three cards are drawn from an ordinary deck...Ch. 11 - Prob. 51RECh. 11 - The results in the table were reported by the...Ch. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - Prob. 56RECh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - Prob. 4CTCh. 11 - Describe a situation where combinations would be...Ch. 11 - One companys ID cards consist of five letters...Ch. 11 - How many ways can five sopranos and four altos be...Ch. 11 - When a card is drawn from a deck, find the...Ch. 11 - A trooper has written 12 citations for speeding...Ch. 11 - When two dice are rolled, find the probability of...Ch. 11 - Prob. 11CTCh. 11 - Prob. 12CTCh. 11 - Five cards are drawn from an ordinary deck without...Ch. 11 - Prob. 14CTCh. 11 - A coin is tossed and a die is rolled. Find the...Ch. 11 - Prob. 16CTCh. 11 - Prob. 17CTCh. 11 - Prob. 18CTCh. 11 - Prob. 19CTCh. 11 - Prob. 20CTCh. 11 - Prob. 21CTCh. 11 - At Sallys freshman orientation, there were six...Ch. 11 - Prob. 23CT

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