In: Statistics and Probability
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?