Hmm, I guess I misunderstood the setup, oops. I assumed that only those who are predicted to pay $1 on tails would be offered the game. Apparently… something else is going on? The game is offered first, and then the predictor makes the prediction?
Yes, that’s why I bracketed my interpretation as I did: in my reading, the only clause to which the prediction result applies is “you’ll win $2 on Heads”.
Hmm, I guess I misunderstood the setup, oops. I assumed that only those who are predicted to pay $1 on tails would be offered the game. Apparently… something else is going on? The game is offered first, and then the predictor makes the prediction?
Yes, that’s why I bracketed my interpretation as I did: in my reading, the only clause to which the prediction result applies is “you’ll win $2 on Heads”.