[bvw]

I understand your examples and -- I think -- the point you are trying to make. You posit that any outcome is as likely as any other. Do I have that right?

[WildTurkey]

I understand your examples and -- I think -- the point you are trying to make. You posit that any outcome is as likely as any other. Do I have that right?

For the situation of a set number of random coin tosses.

[jwalsh07]

A sequence is as likely as any other, 2^-n. The distribution of heads and tails, ignoring the sequence, is a different probability all together.