SOLUTION: If three numbers from 100 to 999 are chosen at random, one at a time, find the probability that they will be chosen in increasing order.

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Question 1133888: If three numbers from 100 to 999 are chosen at random, one at a time, find the probability that they will be chosen in increasing order.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
They can only be chosen in six orders:
They are:

(1). smallest number, middle-size number, largest number.
(2). smallest number, largest number, middle-size number.
(3). middle-size number, smallest number, largest number.
(4). middle-size number, largest number, smallest number.
(5). largest number, smallest number, middle-size number.
(6). largest number, middle-size number, smallest number.

Only (1) is in increasing order, so the probability is

1 way out of 6 or 1/6.

Edwin