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The manager of a used car lot took inventory of the automobiles on his lot and constructed the following table based on the age of cach car and its make (foreign or domestic): Age of Car (in years) 6 - 10 Make Foreign Domestic 0-2 3-5 over 10 Total 39 29 14 18 100 45 24 10 21 100 Total 84 53 24 39 200 A car was randomly selected from the lot. Given that the car selected was a foreign car, what is the probability that it was older than 2 years old? 61 61 B) 116 39 39 D) 116 100 100

The manager of a used car lot took inventory of the automobiles on his lot and constructed the following table based on the age of cach car and its make (foreign or domestic): Age of Car (in years) 6 - 10 Make Foreign Domestic 0-2 3-5 over 10 Total 39 29 14 18 100 45 24 10 21 100 Total 84 53 24 39 200 A car was randomly selected from the lot. Given that the car selected was a foreign car, what is the probability that it was older than 2 years old? 61 61 B) 116 39 39 D) 116 100 100

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section0.11: Simple Probability And Odds
Problem 13E
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The manager of a used car lot took inventory of the automobiles on his lot and constructed the following table based on the age of each car and its make (foreign or domestic): Age of Car (in years) 6 - 10 Make 0-2 3-5 over 10 Total Forcign Domestic 39 29 14 18 100 45 24 10 21 100 Total 84 53 24 39 200 A car was randomly selected from the lot. Given that the car selected was a foreign car, what is the probability that it was older than 2 years old? 61 A) 100 61 39 39 D) 116 B) T16 100
Transcribed Image Text:The manager of a used car lot took inventory of the automobiles on his lot and constructed the following table based on the age of each car and its make (foreign or domestic): Age of Car (in years) 6 - 10 Make 0-2 3-5 over 10 Total Forcign Domestic 39 29 14 18 100 45 24 10 21 100 Total 84 53 24 39 200 A car was randomly selected from the lot. Given that the car selected was a foreign car, what is the probability that it was older than 2 years old? 61 A) 100 61 39 39 D) 116 B) T16 100
Expert Solution
Step 1

Given information:

Total number of cars in lot = 200

Number of foreign cars = 100

Number of foreign cars and older than 2 years old=29+14+18=61

Use the formula for conditional probability to determine the required probability:

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