This is an interesting question -- by betting on two mutually exclusive outcomes, did you actually decrease your odds on each bet? I'm tempted to say yes. It seems to me that since you can only win one of these bets but never both, your odds on each have gone down. Basically, you have $350 at stake in the game now and you can't possibly win both bets. If the Patriots win, you've won $2500, but it cost you $350 to get there, so your pay off is really 7/1. If the Broncos win, you've won $1500, but it cost you $350 to get there. So your pay off there is really about 4/1.
That said, on the other hand, you've increased your odds of winning some amount of money (either $2500 or $1500) by now having two horses in the race instead of 1, so maybe it all evens out and doesn't change anything. Not sure. I'm no good with probabilities. But I guess the question is whether your odds stay the same when you make these two bets as if you'd only picked one. Probably they do, although it seems to me almost like making two inconsistent bets on the same black jack hand or something.
nicely written.......since my object is to win money,I place more emphasis on the perceived "value" of the bet........rather than the "luck" factor
of longer odds.
For example,you mentioned horse racing,but to me NFL football teams are more like the Stock Market............This is where the "value" part comes
in.Take Denver for example.....
IMO,they are in the top five teams in football and at 15/1 represent an excellent "value" pick to me with an investment of only $100.
Now that I have made my initial "early" bets,I'll look at the lines again when the season starts and again,in January,when the playoffs begin.
Last year in the playoffs in the AFC,both NE and Indy were 8/1 to win the SB.I bet $100 on each and ended up winning a net of $700,when Indy won.I didn't bet SD at 4.5/1,because I didn't think the "value" was there at the smaller odds.
Next January,I may increase my action on the Patriots and Denver or add more teams into the mix,just like an investor would do.
It is all about the "benjamins",but it is also a lot of fun for me.....just keep your emotions in check and your head on straight.
(also your wallet closed,but,that's a story for another time.)