sampi 0.3, and the probability that A occurs but B does not occur is 0.1, what is P(A/B)?

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 help to solve this and explain into details please. Thank you. 

3. Let A and B be two events in a sample space S. If the probability that at least one of them occurs is
0.3, and the probability that A occurs but B does not occur is 0.1, what is P(A|Bº)?
Transcribed Image Text:3. Let A and B be two events in a sample space S. If the probability that at least one of them occurs is 0.3, and the probability that A occurs but B does not occur is 0.1, what is P(A|Bº)?
Expert Solution
Step 1: Introduce the given information

Given ,

A and B be two events in a sample space S. If the probability that at least one of them occurs is 0.3, and the probability that A occurs but B does not occur is 0.1

Using Formulas,

P open parentheses A intersection B close parentheses equals P left parenthesis A right parenthesis plus P left parenthesis B right parenthesis minus P open parentheses A union B close parentheses

P open parentheses A intersection B to the power of c close parentheses equals P left parenthesis A right parenthesis minus P open parentheses A intersection B close parentheses

P open parentheses A vertical line B to the power of c close parentheses equals fraction numerator P open parentheses A intersection B to the power of c close parentheses over denominator P open parentheses B to the power of c close parentheses end fraction

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