This is for computerized Scrabble games.
There is a certain probability of receiving a given letter
tile, e.g., 1/100 for a Q and 1/12 for an E. Qs are worth
more than Es. Thus, by receiving a disproportionate
of high-value tiles a player has a great advantage.
this idea, the sum of the point value of the dealt tiles
attempts to remain the same for all players during the
of the game, with some variation due to luck.
For example, if Player One receives QEAYSEI HWN for his
10 tiles, then he has received a point value of 28 on his
(keep in mind that you only receive seven tiles at a time)
over the first 10 tiles. To make it fair, the dealer
deals Player Two random tiles that also add up to 28. It
be made a little bit more random by adjusting the
probability for letters such as to tend the distributions to
have the same value.
In one implementation the sequence of tiles to be dealt
divided into chunks of ten. For each chunk of 10, each
will receive the same point value. E.g., the first 10 tiles
be worth 28, the next 17, the next 25, etc. The value
each chunk is randomly set by the computer without
revealing the values to the players.