(1) 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?
(1) 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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