SOLUTION: The following box contains the 9 9 letters shown. The letters are drawn​ one-by-one without​ replacement, and the results are recorded in order. Find the probability of th

Algebra ->  Probability-and-statistics -> SOLUTION: The following box contains the 9 9 letters shown. The letters are drawn​ one-by-one without​ replacement, and the results are recorded in order. Find the probability of th      Log On


   



Question 1162510: The following box contains the
9
9 letters shown. The letters are drawn​ one-by-one without​ replacement, and the results are recorded in order. Find the probability of the outcome
APPELLATE

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
There are 9 letters
But, there are 2 A's, 2 E's, 2 L's, and 2 P's:
so the number of unique (distinguishable) outcomes is:

+9%21%2F+%282%21%2A2%21%2A2%21%2A2%21%29+ = 22680

Obtaining 'APPELLATE' is just one of those unique outcomes, so

P('APPELLATE') = 1/22680 (about 0.0000441)