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This is a very hard problem and I do not think ANYONE will solve it, but that's ok!

Mr.Owl Oct 26, 2017

#1**+7 **

From 100 - 199, These are the numbers containing a zero:

100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 120, 130, 140, 150, 160, 170, 180, 190

There are 19 of them.

From 100 - 199, there are 19 .

From 200 - 299, there are 19 .

From 300 - 399, there are 19 . etc.

From 100 - 999, there are 19 * 9 numbers containing zero.

And there are 900 numbers from 100 - 999, including 100 and 999.

So the probability = \(\frac{19*9}{900}\,=\,\frac{171}{900}\) ???

hectictar Oct 26, 2017