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Starting the Scrabble Game (Posted on 2018-01-24) Difficulty: 2 of 5
To determine who plays first in a game of Scrabble, each player draws a tile and the one closest to A wins, except if one draws a blank tile. A blank tile beats any letter.

If there are only two players, what is the probability they both draw the same letter or both draw a blank?

The letters (and counts) are E (12); A, I (9); O (8); N, R, T (6); D, L, S, U (4); G (3); B, C, F, H, M, P, V, W, Y (2); J, K, Q, X, Z (1); and 2 blanks. -- 100 tiles in all.

Bonus: What if there are more than two players: what is the probability of a tie for who plays first? (subsequent play is to the left so 2nd, etc. player are not determined by the draw).

See The Solution Submitted by Charlie    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re(5): No Subject | Comment 6 of 8 |
(In reply to re(4): No Subject by armando)

How embarrassing, to make 3 hasty errors.  Thanks for catching them.  I believe I fixed them all in the original post. 
  Posted by Jer on 2018-01-25 15:09:40

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