Assume the range of a 3-digit number set is 000-999. What is the probability, in a randomly selected number, that all three digits will be the same? (i.e. 222, 333, 444, etc).

Much appreciated.

~CG

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- Feb 15th 2011, 11:06 PMcalcgenieRange of a 3-digit number set is 000-999
Assume the range of a 3-digit number set is 000-999. What is the probability, in a randomly selected number, that all three digits will be the same? (i.e. 222, 333, 444, etc).

Much appreciated.

~CG - Feb 15th 2011, 11:11 PMharish21
The numbers where all three digits are same are: 000,111,222,333,444,555,666,777,888,999.

So what is the probability?! - Feb 15th 2011, 11:19 PMcalcgenie
I realize that those are all the numbers where the three digits are the same, 10/999? There are only 10 numbers where all three digits are the same, but there are 999 unique numbers (000, 001, 002...997, 998, 999, etc).

- Feb 15th 2011, 11:22 PMharish21
If 000 is also included, then there are 1000 numbers altogether.

- Feb 15th 2011, 11:25 PMcalcgenie
It is included. So is the probability then 10/1000? Or 1% (.01)?