2. There are 100 fabric dyeing (coloring) machines in a factory. Each of them can produce either one of blue, red and yellow fabric. We also have these information: Number of machines which can produce only yellow fabric is 12. • Number of machines which can produce either red or yellow (maybe both) fabric is 86. • Number of machines which can produce either blue or yellow (maybe both) fabric is 76. • Number of machines which can produce both blue and red fabric is 26. • Number of machines which can produce both red and yellow fabric is 12. • Number of machines which can produce both blue and yellow but cannot produce red fabric is 16. • Number of machines which can produce all three colors (red, blue and yellow) is 4. Accordingly, calculate the following probabilities: (a) The probability that a randomly selected machine cannot produce red fabric. (b) The probability that a randomly selected machine cannot produce yellow fabric. (c) The probability that a randomly selected machine can produce blue fabric.
2. There are 100 fabric dyeing (coloring) machines in a factory. Each of them can produce either one of blue, red and yellow fabric. We also have these information: Number of machines which can produce only yellow fabric is 12. • Number of machines which can produce either red or yellow (maybe both) fabric is 86. • Number of machines which can produce either blue or yellow (maybe both) fabric is 76. • Number of machines which can produce both blue and red fabric is 26. • Number of machines which can produce both red and yellow fabric is 12. • Number of machines which can produce both blue and yellow but cannot produce red fabric is 16. • Number of machines which can produce all three colors (red, blue and yellow) is 4. Accordingly, calculate the following probabilities: (a) The probability that a randomly selected machine cannot produce red fabric. (b) The probability that a randomly selected machine cannot produce yellow fabric. (c) The probability that a randomly selected machine can produce blue fabric.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:2. There are 100 fabric dyeing (coloring) machines in a factory. Each of them can produce either one
of blue, red and yellow fabric. We also have these information:
• Number of machines which can produce only yellow fabric is 12.
• Number of machines which can produce either red or yellow (maybe both) fabric is 86.
• Number of machines which can produce either blue or yellow (maybe both) fabric is 76.
• Number of machines which can produce both blue and red fabric is 26.
• Number of machines which can produce both red and yellow fabric is 12.
• Number of machines which can produce both blue and yellow but cannot produce red fabric
is 16.
• Number of machines which can produce all three colors (red, blue and yellow) is 4.
Accordingly, calculate the following probabilities:
(a) The probability that a randomly selected machine cannot produce red fabric.
(b) The probability that a randomly selected machine cannot produce yellow fabric.
(c) The probability that a randomly selected machine can produce blue fabric.
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