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Suppose that your favorite restaurant serves the best ramen dishes in town . Since you eat...

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Statistics

Suppose that your favorite restaurant serves the best ramendishes in town . Since you eat there so often, you've observed thefollowing :

the patrons are 40% male ,

the probability that the patron orders a tofu-based meal giventhat the patron is male is 30%,

while the probability that the order is tofu-based given thepatron is female is 50%.

One night, you walk into the restaurant and see a tofu-baseddish on one of the tables that is partially eaten ,but the customerhas already left. What is the probability that the customer wasfemale?

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