1 in 4,883,252.
There are 89 tiles in the bag. There are 2 F tiles, so the odds of picking that first are 2 in 89. There are 3 U tiles, so the odds of picking that next are 3 in 88 (remember, you took one tile out.) There are 2 C tiles, so the odds of picking that next are 2 in 87. And there is 1 K tile, so the odds of picking that next are 1 in 86. Multiply those together and simplify, and you have the answer.
(The answer is different in Scrabble due to different tile distributions. And if you're playing a UK version it might be different from the American version I based my numbers on.)