But, just to show you that I’m still more correct than you, I will note that the mathematical chances are 1/500–not 1/1000.
This is because I am calculating the chances of being this far off the mean in either direction, which would happen if there are either 10 heads or 10 tails. Therefore, the formula is 1*.5*.5*.5*.5*.5*.5*.5*.5*.5. Because the first time it doesn’t matter which one it lands on.
This is true even though I said the case was 10 heads. Because I am calculating the chances that a sample of 10 would be that far off the mean of all spins which is .5, and it would be that far off the mean whether it was 10 heads or 10 tails.
Snort at you.