Mathematicians, statisticians, and Scrabble players: are these situations the same?

[ultrafilter]

@Jinx

I’m not a statistician

I am.

Doesn’t drawing seven tiles at once better my chances for drawing the one “X”?

No.

[Beware_of_Doug]

Scabble?

[fumster]

@Beware_of_Doug

Scabble?

It doesn’t matter what order you pick the scabs.

[Chronos]

I’m not a statistician, but it seems to me the OP’s two methods DOES make a difference. Doesn’t drawing seven tiles at once better my chances for drawing the one “X”?

Your chance of getting it in your first set of draws is increased, but if you don’t get it, you’ll never get a second (or third or seventh) set of draws to try again.

[cmkeller]

Beware of Doug:

Scabble?

Those are the 7 letters in his rack, and he needs an open “R” to put it by for the 50 points.

[Turble]

@Cagey_Drifter

Is there a difference between each player drawing 7 tiles at once and then passing the bag to the next player, versus each player drawing 1 tile and then passing the bag to the next person and having the bag passed around 7 times?

Add in the other possibilities; all players reach into the bag at the same time and grab one tile each or seven tiles each. Does that make it easier to see that there is no difference?