Playing an online version of scrabble with 8 tiles per turn

Playing a game with my GF and a different game with my daughter in a different city at the same time.

This comes up on the two games - sort of made me cross eyed



what were the odds of 7 of 8 tiles being identical?

I just noticed an X was played on the last turn in both games as well.

What are the letter frequencies in this game?

Had it been the first random draw from the bag, the odds would be like 3.59829962 × 10^-9 (I could be wrong!) but so many letters have already been used in both the boards, the probability is much much higher.

Don't think it shifts all that much.

I suspect its a summary of the odds on drawing the same letter in each game 0 then doing that 7 out of 8 times.

for instance for matching As - 8 in 100 etc.

So the frequency of 7 of 8 would be higher early in the game.

You're going to have an easier time with a Monte Carlo simulation than an actual precise computation, I believe. And the question is effectively indeterminate for midgame situations as well, depending on the types of words particular players may be apt to form.

I would like to stop you for a moment to tell you that I fucking love this forum!



...Carry on.