And, since the average number of possible moves a single person can make is 30, the next thing Shannon needed to do is simply represent the sum of the possible games of chess as 30 80≈ 10 120 That will be 80 plies in total for both players. Now, the average game in a single chess match is worked out to be 40 moves long which is what Shannon suggested. We can take it even further to the 4th ply which is the second pair of turns and now we have 30 4= 810,000 games. Subsequently, if white makes another move, we have 3 total plies and that puts us at 30×30×30= 27,000 chess games. And, if both players make their move, we have 30×30= 900 possible games already. We now know that on average there are 30 legal moves each side can make. Take any random position from any of your chess games and count how many legal moves each side has. Take for this illustrative example below:īlack to move has 37 possibilities to choose from After some intense thinking, he noticed that on average, in any position, there are about 30 legal moves you can make. That’s a huge number!īut how did Mr.Claude came up with the number 10 120? Well, the first thing Shannon did was to look at some games of chess. That actually beats the number of atoms in the known universe which is estimated to be 10 78 to 10 82 atoms. In that paper he came up with an estimate that the number of games of chess would be 10 120 . In 1950, an American Mathematician by the name Claude Shannon wrote a magazine “ How To Programme A Computer For Playing Chess“. How Many Chess Games Are Possible – Shannon’s Number Explained How English Mathematician Godfrey Hardy’s debunks Shannon’s number.What’s The Longest Possible Chess Game?.The Exact Number Of Ways A Game Can Unfold For The First 5 Moves of Chess.How Many Chess Games Are Possible – Shannon’s Number Explained.
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