If picking 11 tiles at random what is the probability of pulling out the tiles in the order to spell PROBABILITY?

Question

In a bag there is a tile with every letter of the alphabet in it, with two of each vowel(including Y), and 5 B tiles and 4 S tiles. If picking 11 tiles at random what is the probability of pulling out the tiles in the order to spell PROBABILITY?

Answer 1

26 tiles for each letter of the alphabet, 6 more for each vowel + y, 4 extra B tiles and 3 extra S tiles. 39 total tiles.

First letter P 1/39, leaving 38 tiles.

Second letter R 1/38, leaving 37 tiles.

Third letter O 2/37, leaving 36 tiles

Fourth letter B 5/36, leaving, 35 tiles and 4 B tiles

Fifth letter A 2/35, leaving 34 tiles

Sixth letter B, 4/34, leaving 33 tiles

Seventh letter I, 2/33, leaving 32 tiles and 1 I tile

Eight letter, L, 1/32, leaving 31 tiles

Ninth letter I, 1/31 , leaving 30 tiles

Tenth letter T, 1/30, leaving 29 tiles

Eleventh letter Y, 2/29

Multiply all those probabilities together to getting total probability of spelling PROBABILITY in that order.