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 Starting the Scrabble Game (Posted on 2018-01-24)
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 No Rating

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 re(4): No Subject | Comment 5 of 8 |
(In reply to re(3): No Subject by Charlie)

And he considers also the blanks. So the only point I see is if the total number o tiles is 100 the formulas for a letter with n tiles should be n/100*(n-1)/99.

So (12*11+2*9*8+ .…+ 2*2*1)/9900

Perhaps Jer consider that each player has 100 tiles.

 Posted by armando on 2018-01-25 05:22:48

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