At a large high school, the favorite colleges for students to go on to are Floral College, Expanding University, Disco Tech, and Reform Institute. Of the students who go to one of these,40% go to Floral, 25% to Expanding, 20% to Disco, and 15% to reform. According to the records of those colleges, 75% of Floral entrants graduate, 60% of Expanding entrants graduate, 80% of Disco entrants graduate, and only 40% of Reform entrants graduate. a) A student from this high school will be going to one of these favorite colleges, but you do not know which one. What is the probability that student will graduate from the college chosen? b) A few years later in a Bigbucks coffee shop you meet a student from this high school who entered one of the favorite colleges. She tells you she dropped out. What is the probability she went to Expanding University?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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At a large high school, the favorite colleges for students to go on to are Floral College, Expanding University, Disco Tech, and Reform Institute. Of the students who go to one of these,40% go to Floral, 25% to Expanding, 20% to Disco, and 15% to reform. According to the records of those colleges, 75% of Floral entrants graduate, 60% of Expanding entrants graduate, 80% of Disco entrants graduate, and only 40% of Reform entrants graduate.
a) A student from this high school will be going to one of these favorite colleges, but you do not know which one. What is the probability that student will graduate from the college chosen?
b) A few years later in a Bigbucks coffee shop you meet a student from this high school who entered one of the favorite colleges. She tells you she dropped out. What is the probability she went to Expanding University?

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