Question

In: Statistics and Probability

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

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

the patrons are 40% male ,

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

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

One night, you walk into the restaurant and see a tofu-based dish on one of the tables that is partially eaten ,but the customer has already left. What is the probability that the customer was female?

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