Crossword Puzzle

[six_4off]

This came up at a boring shift at work. If there is a crossword puzzle w/ a total of 170 blank spaces for letters, what are the odds of a person filling it in correctly w.out the use of any clues. i figure that the odds of guessing any single letter correctly is 1/25. I guessed (however i am not good at this sort of thing) that the answer would be 26 to the 170th power. (Laugh hard at me if i am wrong which i am sure that i am.) Just wondering if any1 knew the math bbehind it and could explain.



Thanks in Advance!

6/4