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?