3. An ordinary die is tossed once. If a 1 appears, a ball is drawn from Urn 1. If a 2, 3 or 4 appears, a ball is drawn from Um 2; otherwise, a ball is drawn from Um 3. Um 1 contains 5 white, 3 green and 2 red balls. Un 2 contains 1 white, 6 green and 3 red balls. Urn 3 contains 3 white, 1 green and 6 red balls. What is the probability that a red ball is drawn? Ans: The probability of drawing a red ball is 49/72. 4. A box of a dozen mechanical components contains 7 good components and 5 bad components. Mr. Mechanical Engineer is preparing machine design for his four projects. One component is required per machine. He randomly selects 4 components from the box. What is the probability that the Mr Mochanical Engineor got at most one

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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I am not sure with my answer in number 3 so please kindly check if it's correct. Then in number 4, I am really confused with the given problem so please answer it for me with complete solution. I badly need an answer in number 4 :<
3. An ordinary die is tossed once. If a 1 appears, a ball is drawn from Urn 1. If a 2, 3 or
4 appears, a ball is drawn from Um 2; otherwise, a ball is drawn from Urn 3. Urn 1
contains 5 white, 3 green and 2 red balls. Um 2 contains 1 white, 6 green and 3 red
balls. Um 3 contains 3 white, 1 green and 6 red balls. What is the probability that a
red ball is drawn?
Ans: The probability of drawing a red ball is 49/72.
4. A box of a dozen mechanical components contains 7 good components and 5 bad
components. Mr. Mechanical Engineer is preparing machine design for his four
projects. One component is required per machine. He randomly selects 4
components from the box.
a. What is the probability that the Mr. Mechanical Engineer got at most one
bad component?
b. What is the probability that Mr. Mechanical Engineer will have to get
components from the box again?
Transcribed Image Text:3. An ordinary die is tossed once. If a 1 appears, a ball is drawn from Urn 1. If a 2, 3 or 4 appears, a ball is drawn from Um 2; otherwise, a ball is drawn from Urn 3. Urn 1 contains 5 white, 3 green and 2 red balls. Um 2 contains 1 white, 6 green and 3 red balls. Um 3 contains 3 white, 1 green and 6 red balls. What is the probability that a red ball is drawn? Ans: The probability of drawing a red ball is 49/72. 4. A box of a dozen mechanical components contains 7 good components and 5 bad components. Mr. Mechanical Engineer is preparing machine design for his four projects. One component is required per machine. He randomly selects 4 components from the box. a. What is the probability that the Mr. Mechanical Engineer got at most one bad component? b. What is the probability that Mr. Mechanical Engineer will have to get components from the box again?
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