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Find the probability that the first traffic light is green given that the second traffic light is green. I Know:  P(A) = 0.55.  P(A^c) = 0.45  P(B|A) = 0.75  P(B|A^c) = 0.09  P(B) = 0.453 I Want to find:  P(A|B)

Find the probability that the first traffic light is green given that the second traffic light is green. I Know:  P(A) = 0.55.  P(A^c) = 0.45  P(B|A) = 0.75  P(B|A^c) = 0.09  P(B) = 0.453 I Want to find:  P(A|B)

A First Course in Probability (10th Edition)
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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Find the probability that the first traffic light is green given that
the second traffic light is green.
I Know:
 P(A) = 0.55.
 P(A^c) = 0.45
 P(B|A) = 0.75
 P(B|A^c) = 0.09
 P(B) = 0.453
I Want to find:
 P(A|B)

Expert Solution
Step 1

 P(A) = 0.55.
 P(AC) = 0.45
 P(B|A) = 0.75
 P(B|Ac) = 0.09
 P(B) = 0.453
P(A|B) = ?

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