There are 90 students in our Foundation program. All of these take some combination of Maths, Chemistry or Biology. The number who take Chemistry is 44; the number who take Biology is 50; and 50 take Maths. The number who take Maths and Biology is 20; the number who take Chemistry and Biology is 24, and there are 20 who take Maths only and 15 who take Biology only. a) Find the probability that a student picked at random studies only Chemistry. b) Find the probability that a student picked at random studies all three courses. c) Find the probability that a student picked at random studies Chemistry given that the student is studying Maths.
There are 90 students in our Foundation program. All of these take some combination of Maths, Chemistry or Biology. The number who take Chemistry is 44; the number who take Biology is 50; and 50 take Maths. The number who take Maths and Biology is 20; the number who take Chemistry and Biology is 24, and there are 20 who take Maths only and 15 who take Biology only. a) Find the probability that a student picked at random studies only Chemistry. b) Find the probability that a student picked at random studies all three courses. c) Find the probability that a student picked at random studies Chemistry given that the student is studying Maths.
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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please can you explain how they came up with the van diagram middle numbers such as 11,9,10 and 15.

Transcribed Image Text:Question 3
Part 1:
ml=50
20
10
10
9
15
15
Bl=50
ID
cl= 44

Transcribed Image Text:Part 1:
There are 90 students in our Foundation program. All of these take some combination of
Maths, Chemistry or Biology. The number who take Chemistry is 44; the number who take
Biology is 50; and 50 take Maths. The number who take Maths and Biology is 20; the number
who take Chemistry and Biology is 24, and there are 20 who take Maths only and 15 who take
Biology only.
a) Find the probability that a student picked at random studies only Chemistry.
b) Find the probability that a student picked at random studies all three courses.
c) Find the probability that a student picked at random studies Chemistry given that the
student is studying Maths.
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