Assume that the class contains of 25 percent freshmen, 30 percent sophomores, 25 percent juniors, and 20 percent seniors. Assume further that 55 percent of the freshmen, 30 percent of the sophomores, 35 percent of the juniors, and 25 percent of the seniors plan to go to medical school. One student is selected at random from the class. 1. What is the probability that the student plans to go to medical school? 2. If the student plans to go to medical school, what is the probability that he is a sophomore?

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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Assume that the class contains of 25 percent freshmen, 30 percent sophomores, 25 percent juniors, and 20 percent seniors. Assume further that 55 percent of the freshmen, 30 percent of the sophomores, 35 percent of the juniors, and 25 percent of the seniors plan to go to medical school. One student is selected at random from the class. 1. What is the probability that the student plans to go to medical school? 2. If the student plans to go to medical school, what is the probability that he is a sophomore?
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