Late Night Talk Shows Narrative
Let A be the event that a randomly selected person watches the Tonight Show with Jay Leno (event A) and B be the event that a randomly selected person watches the Late Show with David Letterman (event
B). It is possible to time-shift a program to a more convenient hour and thus watch both programs. Suppose the following probabilities are given: P(A
B) = 0.20, P(A ) = 0.40, P( ) = 0.10, and P( ) = 0.30. -Refer to Late Night Talk Shows Narrative. If we know a person watches Jay Leno, what is the probability he or she also watches David Letterman?

Question

Late Night Talk Shows Narrative
Let A be the event that a randomly selected person watches the Tonight Show with Jay Leno (event A) and B be the event that a randomly selected person watches the Late Show with David Letterman (event 
B). It is possible to time-shift a program to a more convenient hour and thus watch both programs. Suppose the following probabilities are given: P(A 
B) = 0.20, P(A ) = 0.40, P( ) = 0.10, and P( ) = 0.30. -Refer to Late Night Talk Shows Narrative. If we know a person watches Jay Leno, what is the probability he or she also watches David Letterman?

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The Answer of Late Night Talk Shows Narrative
Let A be the event that a randomly selected person watches the Tonight Show with Jay Leno (event A) and B be the event that a randomly selected person watches the Late Show with David Letterman (event 
B). It is possible to time-shift a program to a more convenient hour and thus watch both programs. Suppose the following probabilities are given: P(A 
B) = 0.20, P(A ) = 0.40, P( ) = 0.10, and P( ) = 0.30. -Refer to Late Night Talk Shows Narrative. If we know a person watches Jay Leno, what is the probability he or she also watches David Letterman?