7. A die is rolled. If it comes up 1, a ball is selected from an urn with 7 red balls and 5 blue balls. If the die shows 2,3,4,5, or 6, a ball is selected from an urn with 3 red balls and 7 blue balls. (a) What is the probability that a blue ball is selected? * (b) If we know that a blue ball was selected, what is the probability that 1 came up on the roll of the die?
7. A die is rolled. If it comes up 1, a ball is selected from an urn with 7 red balls and 5 blue balls. If the die shows 2,3,4,5, or 6, a ball is selected from an urn with 3 red balls and 7 blue balls. (a) What is the probability that a blue ball is selected? * (b) If we know that a blue ball was selected, what is the probability that 1 came up on the roll of the die?
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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Please explain both subparts.
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![7. A die is rolled. If it comes up 1, a ball is selected from an urn with 7 red balls and 5 blue balls. If the die shows
2,3,4,5, or 6, a ball is selected from an urn with 3 red balls and 7 blue balls.
(a) What is the probability that a blue ball is selected?
*
(b) If we know that a blue ball was selected, what is the probability that I came up on the roll of the die?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F619b53e8-d17b-4056-b8c7-65add7f2bd1d%2F56efb8af-8942-4be2-9bc2-0c6dbaaed5ee%2Fbv434lk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. A die is rolled. If it comes up 1, a ball is selected from an urn with 7 red balls and 5 blue balls. If the die shows
2,3,4,5, or 6, a ball is selected from an urn with 3 red balls and 7 blue balls.
(a) What is the probability that a blue ball is selected?
*
(b) If we know that a blue ball was selected, what is the probability that I came up on the roll of the die?
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