In Scrabble the words must intersect, and the scoring system encourages intersections with high values tiles, so the ideal tile distribution may be different from the letters in a dictionary. I notice from the above that the E to H ratio is about 5:2 in the English corpus, but 12:2 in terms of Scrabble tiles (see Mike C's frequencies above), which seems like a big disparity. It would be interesting to know the ratio for the dictionary distribution.