UCI Probability & Random Variables Michael and Stefan Egg Rolls Exercise

Question Description

Michael and Stefan are having 18 egg rolls for dinner: ten are filled with meat and eight arevegetarian (they all look the same from the outside).

a) If they both randomly take nine egg rolls each, what is the probability that they both willhave the same amount of vegetarian and meat-filled egg rolls?

b) Now assume that Michael has five meat-filled and four vegetarian egg rolls on his plate.He then randomly picks and eats egg rolls off his plate, but he will stop eating as soon ashe has eaten a vegetarian egg roll. What is the probability that he will eat all meat-filledegg rolls before he stops?

c) If the random variable Y denotes the number of egg rolls Michael will eat, what is E(Y )?

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