When a sequence of six digits is chosen at random:

• All digits are distinct 15.12% of the time.
• The sequence matches ‘x**x**’, ‘*x**x*’, or ‘**x**x’ 9.07% of the time.
• At least two distinct digits are repeated 28.31% of the time.
• A digit occurs 3 or more times 15.76% of the time.
• At least one of the above is true 63.71% of the time.

Script here. Now I can stop wondering if that weird coincidence is evidence that the six digits aren’t actually random.