Your mental random number generator, or the keys you're willing to type one handedly for a bit, represent only 50% of the 10 Arabic numerals in use today.

With only 7 digits typed, we would expect at least some repetition ;)

The chance of no digit repeating out of 7 would be about 20%

With a proper keyboard including a 10-key, I can reach all 10 of those Arabic numerals with one hand. I find your logic equally as flawed as the statistic. You sir, must be a spambot account!