Explanation Given: There are 500 tickets sold in a raffle and a person has three of these tickets and five prizes are to be given. Calculation: The number of tickets in a raffle is 500. The total number of ways of drawing 5 cards from 500 tickets is C 500 5 . Now there are three cases for winning at least one prize. Case 1: Let all three tickets of the person be prize tickets. The number of ways of selecting 3 tickets from 5 prize tickets is C 5 3 . The number of ways of selecting tickets from 495 tickets with no prize C 495 0 . So, the total number of ways of selecting 3 prize tickets from 500 tickets is C 5 3 × C 495 0 . Case 2: Let two out of three tickets of the person be prize tickets. The number of ways of selecting 2 tickets from 5 prize tickets is C 5 2 . The number of ways of selecting 1 ticket from 495 tickets with no prize C 495 1 . So, the total number of ways of selecting 2 prize tickets from 500 tickets is C 5 2 × C 495 1 . Case 3: Let one out of three tickets of the person be a prize ticket. The number of ways of selecting 1 ticket from 5 prize tickets is C 5 1 . The number of ways of selecting 2 tickets from 495 tickets with no prize C 495 2 . So, the total number of ways of selecting 1 prize ticket from 500 tickets is C 5 1 × C 495 2

Excursions in Modern Mathematics (9th Edition)

9th Edition

ISBN: 9780134468372

Author: Peter Tannenbaum

Publisher: PEARSON

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Chapter 16, Problem 77E

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Chapter 16 Solutions

Excursions in Modern Mathematics (9th Edition)

Ch. 16 - Using set notation, write out the sample space for...Ch. 16 - Using set notation, write out the sample space for...Ch. 16 - Using set notation, write out the sample space for...Ch. 16 - Using set notation, write out the sample space for...Ch. 16 - The board of directors of Fibber Corporation has...Ch. 16 - You reach into a large jar containing jelly beans...Ch. 16 - In Exerxises 7 through 10, the sample spaces are...Ch. 16 - In Exerxises 7 through 10, the sample spaces are...Ch. 16 - Prob. 9E Ch. 16 - In Exerxises 7 through 10, the sample spaces are...

Ch. 16 - A coin is tossed three times in a row The...Ch. 16 - A student randomly guesses the answers to a...Ch. 16 - A pair of dice is rolled. The observation is the...Ch. 16 - A card is drawn out of a standard deck of 52...Ch. 16 - A coin is tossed 10 times in a row. The...Ch. 16 - Five candidates (A,B,C,D,andE) have a chance to be...Ch. 16 - A California license plate starts with a digit...Ch. 16 - A computer password consists of four letters A...Ch. 16 - Jack packs two pairs of shoes, one pair of boots,...Ch. 16 - A French restaurant offers a menu consisting of...Ch. 16 - A set of reference books consists of eight volumes...Ch. 16 - Nine people four men and five women line up at a...Ch. 16 - 7. Nine people four men and five women line up at...Ch. 16 - Prob. 24E Ch. 16 - Determine the number of outcomes N in each sample...Ch. 16 - Determine the number of outcomes N in each sample...Ch. 16 - In Exercises 27 through 30, you are asked to give...Ch. 16 - In Exercises 27 through 30, you are asked to give...Ch. 16 - In Exercises 27 through 30, you are asked to give...Ch. 16 - In Exercises 27 through 30, you are asked to give...Ch. 16 - A major league baseball team roster consists of 40...Ch. 16 - Bob has 20 different dress shirts in his wardrobe....Ch. 16 - Consider the sample space S={o1,o2,o3,o4,o5}....Ch. 16 - Consider the sample space S={o1,o2,o3,o4}. Suppose...Ch. 16 - Four candidates are running for mayor of...Ch. 16 - Seven horses A, B, C, D, E, F, and G are running...Ch. 16 - An honest coin is tossed three times in a row....Ch. 16 - A student randomly guesses the answers to a...Ch. 16 - A pair of honest dice is rolled. Find the...Ch. 16 - A card is drawn at random out of a well-shuffled...Ch. 16 - An honest coin is tossed 10 times in a row. Find...Ch. 16 - Five candidates A, B, C, D, and E have a chance to...Ch. 16 - A student takes a 10-question true-or-false quiz...Ch. 16 - Suppose that the probability of giving birth to a...Ch. 16 - The Tasmania State University glee club has 15...Ch. 16 - Ten professional basketball teams are...Ch. 16 - An honest coin is tossed 10 times in a row. The...Ch. 16 - Imagine a game in which you roll an honest die...Ch. 16 - Find the odds of each of the following events. a....Ch. 16 - Find the odds of each of the following events. a....Ch. 16 - In each case, find the probability of an event E...Ch. 16 - In each case, find the probability of an event E...Ch. 16 - Prob. 53E Ch. 16 - Table 16-19 shows the aggregate scores of a golf...Ch. 16 - At Thomas Jefferson High School, the student body...Ch. 16 - In 2005 the Middletown Zoo averaged 4000 visitors...Ch. 16 - Prob. 57E Ch. 16 - A basketball player shoots two consecutive free...Ch. 16 - Prob. 59E Ch. 16 - A pair of honest dice is rolled once. Find the...Ch. 16 - Suppose that you roll a pair of honest dice. If...Ch. 16 - On an American roulette wheel, there are 18 red...Ch. 16 - On an American roulette wheel, there are 38...Ch. 16 - Suppose that you roll a single die. If an odd...Ch. 16 - Prob. 65E Ch. 16 - Jackie is buying a new MP3 player from Better Buy....Ch. 16 - The service history of the Prego SUV is as...Ch. 16 - An insurance company plans to sell a 250,000...Ch. 16 - The ski club at Tasmania State University has 35...Ch. 16 - Prob. 70E Ch. 16 - Prob. 71E Ch. 16 - Two teams call them X and Y play against each...Ch. 16 - An urn contains seven red balls and three blue...Ch. 16 - Prob. 74E Ch. 16 - Prob. 75E Ch. 16 - A draw poker hand consists of 5 cards taken from a...Ch. 16 - Prob. 77E Ch. 16 - Prob. 78E Ch. 16 - Yahtzee. Yahtzee is a dice game in which five...Ch. 16 - In head-to-head, 7-card stud poker you make your...

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Solution Summary: The author calculates the probability of winning at least one prize, based on the number of tickets sold in a raffle.

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Chapter 16 Solutions