4. At a High school, 70% of the seniors have taken an advance calculus course. Of those who have taken Advanced Calculus, 60% will apply for a Pre-Health science major when they apply for college admission. Of those who have not taken advanced calculus, 40% will apply for a Pre-Health science major when they apply for college admission. A senior is selected at random. What is the probability that the senior have taken advanced calculus, given that the senior will apply for a pre-health science major?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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4. At a High school, 70% of the seniors have taken an advance calculus course. Of those
who have taken Advanced Calculus, 60% will apply for a Pre-Health science major when
they apply for college admission. Of those who have not taken advanced calculus, 40%
will apply for a Pre-Health science major when they apply for college admission. A
senior is selected at random. What is the probability that the senior have taken advanced
calculus, given that the senior will apply for a pre-health science major?
Transcribed Image Text:4. At a High school, 70% of the seniors have taken an advance calculus course. Of those who have taken Advanced Calculus, 60% will apply for a Pre-Health science major when they apply for college admission. Of those who have not taken advanced calculus, 40% will apply for a Pre-Health science major when they apply for college admission. A senior is selected at random. What is the probability that the senior have taken advanced calculus, given that the senior will apply for a pre-health science major?
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