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)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...

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Question

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( $A^{C}$ ) = 0.45
P(B|A) = 0.75
P(B| $A^{c}$ ) = 0.09
P(B) = 0.453
P(A|B) = ?

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