What is the point?
So.. I'm supposed to gather my friends together, and bet on a horse? 10 outcomes? So, basically, there's no randomness?
If you want to make a game, it has to have actual gameplay value. This is basically a movie, that you've suggested players bet on.
If you want this to actually be something, make it multiplayer. Online friends betting on horses.
But most importantly, make it random. Make it based on some statistics of the horse, you can have a look at before the race. There's no point in this, and absolutely no replay value if the same horse wins "Race 1" every time. It's more like an interactive movie right now, than a game.