FYI if you only have the 2nd edition of volume 2, Knuth provides the full text of the changes from the 2nd to 3rd edition electronically: https://www-cs-faculty

FYI if you only have the 2nd edition of volume 2, Knuth provides the full text of the changes from the 2nd to 3rd edition electronically: https://www-cs-faculty.stanford.edu/~knuth/taocp.html https://www-cs-faculty.stanford.edu/~knuth/taocp.html (search for "Errata for Volume 2 (2nd ed.)") Since it's too late to edit the earlier post, this is the specifics around discarding (p571): Lüscher's discarding technique can be used to avoid the bias towards 1s. For example, with lags 55 and 24, no deviation for randomness is observed for random walks of length 1001 when the numbers are generated in batches of 165, if only the first 55 numbers of each batch are used.