In a lecture class, there are 280 students where 35% live in Luzon, 40% live in Visayan while the rest lives in Mindanao. They were all asked if they prefer to go home during vacation week. Of those who live in Luzon, 30 answered no. Of those who live in Visayan, 75% answered they want to go home during vacation and half of those from Mindanao prefer to go home, as well. What is the probability that a randomly selected student is from Mindanao, given that the student will not go home during vacation?

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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In a lecture class, there are 280 students where 35% live in Luzon, 40% live in Visayan while the rest lives in Mindanao. They were all asked if they prefer to go home during vacation week. Of those who live in Luzon, 30 answered no. Of those who live in Visayan, 75% answered they want to go home during vacation and half of those from Mindanao prefer to go home, as well. What is the probability that a randomly selected student is from Mindanao, given that the student will not go home during vacation? 

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