perplexus.info :: Probability : Row of towers, Part 2

Row of towers, Part 2 (Posted on 2024-03-01)

As in the original Row of Towers, consider assemblage of unit squares in the form of n towers with heights 1,2,...,n forming a polyomino. In that problem you found the maximum possible perimeter for a given value of n.

Now consider all possible rows of towers for a given n. What is the probability a randomly chosen tower will have the maximum perimeter?

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Comment 2 of 2 |

The required probability is 1/comb((floor((n-1)/2)+1,floor((n-1)/2)..

Edited on March 2, 2024, 7:53 am

Posted by K Sengupta on 2024-03-01 20:25:55

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