In a Scrabble® set there are 100 tiles, consisting of: 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 that can be used as wild cards to represent any letter.
A player is selecting tiles prior to making the first move.
If the first six tiles drawn are A, E, N, R, S, and T, what is the probability that the seventh tile will complete a 7 letter word?
(In reply to
Any better set of letters? by Gamer)
good question.
I would challenge the programmers to do this one. You might just try replacing one of the consonants with an L (or maybe the A with an I or O)
If your program/computer are up to it: assume no q, j, k, z, x, c or v leaves 19 letters 19^6 < 5million so this may be feasable.

Posted by Jer
on 20060203 14:16:06 