|
Aren't you betting on "an individual spin's result"? And isn't the sequential probability of B,R,R,B,R,B,R,B,B,R identical to R,R,R,R,R,R,R,R,R,B?
The chance of rolling Red then Red is 25%. The chance of rolling Red then Black is 25%. The chance of rolling Black then Red is 25%. And the chance of rolling Black then Black is 25%. In fact, all possible sequential outcomes are equally likely when their order is determined.
I think you are confusing the mathematical concept of combination with that of permutation.
__________________
"If I cannot smoke cigars in heaven, I shall not go!"
- Mark Twain
|