If 30% of the students take Economics, 40% take Psychology, and 10% take both Economics and Psychology. What percentage of students take Economics or Psychology? Briefly explain your answer. If a student is chosen at random, find the following conditional probabilities of a student taking Economics if we know they took Psychology. Briefly explain your answer. If a student is chosen at random, what is the probability of this student NOT taking Economics? Briefly explain your answer.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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  1. If 30% of the students take Economics, 40% take Psychology, and 10% take both Economics and Psychology.
    1. What percentage of students take Economics or Psychology? Briefly explain your answer.
    1. If a student is chosen at random, find the following conditional probabilities of a student taking Economics if we know they took Psychology. Briefly explain your answer.
    1. If a student is chosen at random, what is the probability of this student NOT taking Economics? Briefly explain your answer.
Expert Solution
Step 1

Given :

Percentage of students take economics =30%

P(economics) =0.30

Percentage of students take psychology =40%

P(psychology) =0.40

Percentage of students take economics and psychology both=10%

P(economics and psychology) =0.10

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