(e)  Suppose that the probability that the witch planted peppers is as given in the paragraph at the beginning of this problem and that exactly one of the other two probabilities in the paragraph is correct as well (you get to choose which one you assume is correct, just tell me which one). If whether the witch planted peppers is independent of whether she plants celery, what is the probability that she also planted celery?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.FOM: Focus On Modeling: The Monte Carlo Method
Problem 3P: Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if...
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only part e 

 A witch is planting a garden. In one of her garden beds, she plants peppers
with probability 0.349, peppers and celery with probability 0.102, and peppers or celery
with probability 0.742.
(a)  What is the probability that she planted celery in that bed?
(b) What is the probability that she didn’t plant peppers or celery in that bed?
(c)  What is the probability that she planted peppers but not celery in that bed?
(d)  What is the probability that she planted celery in that bed given that she
planted peppers there?
(e)  Suppose that the probability that the witch planted peppers is as given
in the paragraph at the beginning of this problem and that exactly one of the other
two probabilities in the paragraph is correct as well (you get to choose which one you
assume is correct, just tell me which one). If whether the witch planted peppers is
independent of whether she plants celery, what is the probability that she also planted
celery?

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