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Even (related) chances (Posted on 2017-08-09) Difficulty: 3 of 5
Consider a string of n quaternary digits, randomly created.

Evaluate the probability that in this string the quantity
of an a priori defined digit, say zero, is even.

Double check your result by
either
a. direct count and comparison (e.g. n=4)
or
b. getting the same result by two distinct methods.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
closed form | Comment 2 of 4 |
The sum is reasonable enough to be done manually.

I got the surprising (2^n + 1)/2^(n+1), equivalent to 1/2 + 1/2^(n+1), surprising because it's > 1.  

  Posted by xdog on 2017-08-09 12:17:40
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