Roads A, B, and C are the only way to escape from a certain provincial prison. Prison records show that, of the prisoners who tried to escape, 17 % used road A, 13 % used road B, the remainder used road C. The records also indicate that 72 % of those who tried to escape using road A were captured. 62 % of those using road B were captured, and 21 % of those using road C were captured. Use four decimals in your answers. (a) What is the probability that a prisoner escaping from this provincial prison is not captured? 0.65 (b) What is the probability that a captured prisoner used road A in their escape attempt? (c) What is the probability that a prisoner who didn't get captured has used road C?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 2T: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink....
icon
Related questions
Question
Roads A, B, and C are the only way to escape from a certain provincial prison. Prison records show that, of the prisoners
who tried to escape, 17% used road A, 13 % used road B, the remainder used road C. The records also indicate that 72 %
of those who tried to escape using road A were captured. 62 % of those using road B were captured, and 21% of those
using road C were captured. Use four decimals in your answers.
(a) What is the probability that a prisoner escaping from this provincial prison is not captured? 0.65
(b) What is the probability that a captured prisoner used road A in their escape attempt?
(c) What is the probability that a prisoner who didn't get captured has used road C?
Transcribed Image Text:Roads A, B, and C are the only way to escape from a certain provincial prison. Prison records show that, of the prisoners who tried to escape, 17% used road A, 13 % used road B, the remainder used road C. The records also indicate that 72 % of those who tried to escape using road A were captured. 62 % of those using road B were captured, and 21% of those using road C were captured. Use four decimals in your answers. (a) What is the probability that a prisoner escaping from this provincial prison is not captured? 0.65 (b) What is the probability that a captured prisoner used road A in their escape attempt? (c) What is the probability that a prisoner who didn't get captured has used road C?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL