We do a survey of student devices. We find that 40% of students own a desktop computer, and 30% of students with a desktop also have a Playstation. Out of all students, 50% have a Playstation. a) What is the probability that a randomly chosen student has both a desktop and a Playstation? b)With the same conditions as #3, what is the probability that a randomly chosen student has a desktop, if we know they have a Playstation?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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We do a survey of student devices. We find that 40% of students own a desktop computer, and 30% of students with a desktop also have a Playstation. Out of all students, 50% have a Playstation.

a) What is the probability that a randomly chosen student has both a desktop and a Playstation?

b)With the same conditions as #3, what is the probability that a randomly chosen student has a desktop, if we know they have a Playstation?

 
Expert Solution
Step 1

Given,Let A=students own a desktop computerB=students own a playstationGiven,P(A)=0.40P(B)=0.50P(AB)=0.30

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