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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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?
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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