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1. Ata particular undergraduate school, there are 120 students majoring in a foreign language. Of the foreign language majors, 25 are also majoring in either math or engineering. Three students are majoring in math, engineering, and a foreign language. Ten students are majoring in engineering. Of the 85% of students at the school who don't have a foreign language major, 3% are math majors. (a) Find the probability that a student chosen at random from the school is a math major. (b) Given thata student is not a math major, find the probability that they have a foreign language major.

1. Ata particular undergraduate school, there are 120 students majoring in a foreign language. Of the foreign language majors, 25 are also majoring in either math or engineering. Three students are majoring in math, engineering, and a foreign language. Ten students are majoring in engineering. Of the 85% of students at the school who don't have a foreign language major, 3% are math majors. (a) Find the probability that a student chosen at random from the school is a math major. (b) Given thata student is not a math major, find the probability that they have a foreign language major.

A First Course in Probability (10th Edition)
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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At a particular undergraduate school, there are 120 students majoring in a foreign language. Of the foreign language majors, 25 are also majoring in either math or engineering. Three students are majoring in math, engineering, and a foreign language. Ten students are majoring in engineering. Of the 85% of students at the school who don't have a foreign language major, 3% are math majors. (a) Find the probability that a student chosen at random from the school is a math major. (b) Given thata student is not a math major, find the probability that they have a foreign language major.
Transcribed Image Text:At a particular undergraduate school, there are 120 students majoring in a foreign language. Of the foreign language majors, 25 are also majoring in either math or engineering. Three students are majoring in math, engineering, and a foreign language. Ten students are majoring in engineering. Of the 85% of students at the school who don't have a foreign language major, 3% are math majors. (a) Find the probability that a student chosen at random from the school is a math major. (b) Given thata student is not a math major, find the probability that they have a foreign language major.
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