A bakery offers a variety of pastries, including 5 different types of croissants, 4 different types of muffins, and 3 different types of danishes. If a customer randomly selects 2 pastries from the bakery's display case, what is the probability that they choose one croissant, one muffin, and both pastries are of different types, given that each pastry is equally likely to be selected and the customer does not put back the first pastry chosen before selecting the second one?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A bakery offers a variety of pastries, including 5 different types of croissants, 4 different types of muffins, and 3 different types of danishes. If a customer randomly selects 2 pastries from the bakery's display case, what is the probability that they choose one croissant, one muffin, and both pastries are of different types, given that each pastry is equally likely to be selected and the customer does not put back the first pastry chosen before selecting the second one?
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