In traditional board-game scrabble there is a finite set of tiles
and for each letter, there is a finite number of those. For
example there is one Q, one Z, one J, a couple of Ys and Hs,
and a whole lot of As, Es, and Os. And so forth. The rarer
letters have higher point value. Q, Z, and X have 10.
However, the common letters are just worth one point.

The luck of the draw is very significant in the outcome of the
games. If one player gets a Q, that player will be able to get
at least 10 points from playing it and can get many more
points from a clever play involving bonus squares. Thus,
being lucky to get a disproportionate number of high point
tiles can sway the outcome of the game.

There are 100 tiles in a standard scrabble. Thus, for any
given tile, there is a 1/100 chance of it being a Q, for
example. Conversely, there is a 12/100 chance of a tile being
an E. Of course, once a Q is received by one player, the
chance of another player drawing a Q is 0.

However, in Infinite Tile Scrabble, the probability of a tile
being a given letter never changes. Thus, when someone
plays a Q, the next tile drawn still has a 1/100 chance of
being a Q and a 12/100 chance of being an E.

But Arthur's tiles were hand made and not a standard Scrabble
set ... because "What do you get when you multiply six by
nine" has four Y's in it. Maybe he and Ford were playing
Goesta's infinite game to draw the ultimate question.
Just maybe, but I wouldn't call that Scrabble either.

He could have drawn a blank tile and inferred its value from context. For example "multipl_" has only two possible valid "outcomes", if you exclude horrid Italian MPV rot-boxes.

Still not a standard set, his board was only 13x13. No wonder
the Golgafrincham's took over, the original inhabitants never
had a chance to play real Scrabble.

There is still luck here. It is just that drawing a hard letter doesn't disappear throughout the game. This idea would make the game harder not easier. For professionals, I suspect.

Yes, it still has a chance factor and luck could still
sway the game. And a big enough change that it
really wouldn’t be Scrabble. As for
“professionals,” they don’t play tournaments in
“electronic” versions. At least not in the US or
Canada.

This gets a croissant from me. There are many words
that cannot be made without using a blank tile, and
these could now zigzag their way into play. Also it
might prevent "hoarding" a high scoring letter such as
Q, as getting a second Q would be less than
exquisite.