Final answer:
The probability that in a random arrangement of the letters of the word 'managemnt' two a's always come together is 1/9 or 0.1111
Step-by-step explanation:
To find the probability that two 'a's always come together in a random arrangement of the letters of the word 'managemnt', we can count the total number of ways the letters can be arranged and the number of ways the two 'a's can be arranged together.
There are 9 letters in the word 'managemnt', so the total number of arrangements is 9!. The two 'a's can be treated as a single unit, so the number of ways they can be arranged together is 8!.
The probability that the two 'a's always come together is the ratio of the number of ways they can be arranged together to the total number of arrangements: P = 8!/9! = 1/9 = 0.1111.