4 ms·

Here are some numbers: 123456123456 Did I get them by rolling a die?

• travisjungroth 4y ago
  Almost certainly not. Given a circle with diameter AB and a point on the perimeter C, is ABC an equilateral triangle?
  • rocho 4y ago
    It's impossible for ABC to be equilateral. Maybe you meant right triangle.
    • travisjungroth 4y ago
      > It's impossible for ABC to be equilateral. Exactly! This is why you can answer "no" to my question, not "almost certainly not".
• denton-scratch 4y ago
  There's no way of telling. I'll guess you didn't, but that's a guess about people, not about sequences of digits. See, it's not about how likely it is that OP rolled 123456123456; it could have been any "unlikely" number (where I suppose "unlikely" is a psychological quality). So OP keeps rolling until an "unlikely" number comes up, and exclaims "Wow, how unlikely was that?". Well, it's impossible to know, without knowing how many "unlikely" numbers there are; but it's much more likely than 123456123456 is. Aren't all sequences really equally unlikely? So whatever you roll, it's as improbable as all-1s?
• m3047 4y ago
  Is there a null hypothesis that some other mechanism has a higher probability of producing that sequence?