Let N be a randomly selected number between 1 and 999,999 inclusive.

Is it more likely that N contains the digit 1 or that it does not?

There are 9^6=531441 numbers from 0 to 999999 without a 1. Therefore, there are 9^6-1=531440 numbers from 1 to 999999 without a 1. Then, there are 999999-531440=468559 numbers from 1 to 999999 with a 1. Therefore, it is more likely that N does not contain a 1.

Posted by Math Man on 2021-03-27 16:19:10