I am wondering how to best calculate the probability of getting the all of the following "high point" tiles in a single game of scrabble: Z, Q, J, X, and K
In a game of scrabble, there are 100 tiles for distribution. Of the Z, Q, J, X, and K tiles, only 1 each of these are in the bag of tiles.
Let's assume that in a single game, each player gets 50 tiles each. I think of this as a bag of 100 marbles with 95 white marbles and 5 red ones.
So, if you were to distribute them evenly to each of the two players, what are the odds that one person will receive all 5 red marbles/high point tiles.
Now, what are the odds of this happening twice in a row? 3 times in a row?