You need to condition on the actual sequence, not just the total number of heads and tails. If you redo the math with a specific sequence, you’ll find the stopping rule doesn’t matter.
The reason is that one statistician has more possible sequences with the same number of flips than the other, so conditioning only on number of flips gives different inferences.
You need to condition on the actual sequence, not just the total number of heads and tails. If you redo the math with a specific sequence, you’ll find the stopping rule doesn’t matter.
The reason is that one statistician has more possible sequences with the same number of flips than the other, so conditioning only on number of flips gives different inferences.