It’s a 1:1 bet, not a 2:1 bet. If you give me $100 now and I give you $200 if a fair coin lands heads, this is equivalent to you making a $100 1:1 bet on the fair coin landing heads. This is because you’ll net $100($200-$100) if the coin lands heads, and I’ll net $100 if the coin doesn’t land heads.
It’s a 1:1 bet, not a 2:1 bet. If you give me $100 now and I give you $200 if a fair coin lands heads, this is equivalent to you making a $100 1:1 bet on the fair coin landing heads. This is because you’ll net $100($200-$100) if the coin lands heads, and I’ll net $100 if the coin doesn’t land heads.
Fixed. Thank you.