It seems to me that I periodically see people post that parlays are bad bets. I agree if the books don't offer a true multiplier of the individual odds. But if they offer a true multiplier than it should be a fair wager.
For instance, say I have two bets at -110. If I make both as single wagers my expected return (assuming each has a 50% chance of winning) is $0.9091.
If I parlay them at a book offering $260 for $100, then my return is $0.9000.
However, if I parlay them at a book paying $264.46 for $100, then my expected return would be $0.9112).
So have I gone wrong, and if so, where?
For instance, say I have two bets at -110. If I make both as single wagers my expected return (assuming each has a 50% chance of winning) is $0.9091.
If I parlay them at a book offering $260 for $100, then my return is $0.9000.
However, if I parlay them at a book paying $264.46 for $100, then my expected return would be $0.9112).
So have I gone wrong, and if so, where?