The probability that a book will be published by Penguin Classics is 0

gabioskay7

gabioskay7

Answered question

2021-11-16

The probability that a book will be published by Penguin Classics is 0.3. The probability that it will be available in a bookstore is 0.4. If the book is publish by Penguin Classics, the probability that it will be available in a bookstore is 0.8.
1. If the book is available in the bookstore, what is the probability that it will be published by Penguin Classics?
2. Find the probability that the book will be either published by Penguin Classics and be available in Bookstore.
3. Find the probability that the book wull be published by Penguin Classics or be available in Bookstore.
4. Find the probability that the book will be publish by Penguin Classics and be available in Bookstore.

Answer & Explanation

Sculd1987

Sculd1987

Beginner2021-11-17Added 19 answers

Consider the following events,
P=book is published by Penguin Classics
B-book available in bookstore
According to the given problem,
P(P)=0.3
P(B)=0.4
P(BP)=0.8
1.
Given that the book is available in the bookstore, the probability that it will be published by Penguin Classics is calculated as,
P(BP)=P(P)P(B)P(BP)
=0.30.4×0.8
=0.6
Thus, the required probability is 0.6
2.
The probability that the book will be available in the bookstore and published by Penguin Classics, is calculated as,
P(PB)=P(P)P(BP)
=0.3×0.8
=0.24
Thus, the required probability is 0.24
3.
The probability that the book will be available in the bookstore or published by Penguin Classics, is calculated as,
P(PB)=P(P)+P(B)P(PB)
=0.3+0.4-0.24
=0.46
Thus, the required probability is 0.46

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