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3 votes

The number of legal positions after n plies

A very rough approximation you can use is to multiply by 30 for each half move. Since in an average chess position, the number of possible moves tends to be in the ballpark of around 30 (of course, ...
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11 votes
Accepted

The number of legal positions after n plies

Such counting of moves is called perft and it is used for testing move generation of chess engines. You can find a table with your answer up to n = 15 here: https://www.chessprogramming.org/...
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2 votes

Is it possible to estimate my ELO without joining an organization or anything?

Already posted this link as a comment, but since this question isn't closed anymore I'll leave it in an answer too: ethanlebowitz.github.io/RatingConverter/index.html Does a decent job of ...
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6 votes

Is it possible to estimate my ELO without joining an organization or anything?

Puzzles are not very good for getting a close approximation of your ELO, for a variety of reasons. The are some websites that allow you to play games with a computer rated at a certain ELO, playing a ...
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7 votes

Is it possible to estimate my ELO without joining an organization or anything?

If you have online chess ratings, you can get a very rough estimate here, but you should expect that a significant deviation to your real rating is possible (+-200).
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13 votes

Is it possible to estimate my ELO without joining an organization or anything?

Puzzles are a notoriously bad estimator for ELO. (Tried myself, wild fluctuations.) You could run whole games by you through an engine (moar input => moar output) and check the accuracy of your ...
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