Suppose there are 5 types of toys, which you are collecting one by one, with the goal
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Question:
Suppose there are 5 types of toys, which you are collecting one by one, with the goal of getting a complete set. When collecting toys, the toy types are random (as is sometimes the case, for example, with toys included in cereal boxes or included with kids meals from a fast food restaurant). Assume that each time you collect a toy, it is equally likely to be any of the 5 types. What is the expected number of toys needed until you have a complete set?
Hints:
(1) First, find the expected number of toys until you have some type, then the expected number of toys until you have a new type (after that you already have a type), and so on.
(2) Related to Geometric model.
Related Book For
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
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