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Help plz with ev problem

 

In a sequence of coin flips, a run is a series of consecutive coin flips that are all the same.  For example, in the sequence

the red letters form a run.

 

If a fair coin is flipped two times, what is the expected length of the longest run?

 Jan 21, 2023
 #1
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The expected length is 8/5.

 Feb 5, 2023

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