Avril has certain standards for selecting her future

Chapter , Problem 22

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QUESTION:

Avril has certain standards for selecting her future husband. She has n suitors and knows how to compare any two and rank them. She decides to date one suitor at a time randomly. When she knows a suitor well enough, she can marry or reject him. If she marries the suitor, she can never know the ones not dated. If she rejects the suitor, she will not be able to reconsider him. In this process, Avril will not choose a suitor she ranks lower than at least one of the previous ones dated. Avrils goal is to maximize the probability of selecting the best suitor. To achieve this, she adopts the following strategy: For some m, 0 m

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QUESTION:

Avril has certain standards for selecting her future husband. She has n suitors and knows how to compare any two and rank them. She decides to date one suitor at a time randomly. When she knows a suitor well enough, she can marry or reject him. If she marries the suitor, she can never know the ones not dated. If she rejects the suitor, she will not be able to reconsider him. In this process, Avril will not choose a suitor she ranks lower than at least one of the previous ones dated. Avrils goal is to maximize the probability of selecting the best suitor. To achieve this, she adopts the following strategy: For some m, 0 m

ANSWER:

Step 1 of 4

Given:

The number of suitors that Avril has is n.

The strategy adopted by Avril is for some m,

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