Quote:
Originally Posted by I I.
With both sides of the coin being equal heads 50% Tails 50% equaling a total probability of 100%. My question is would it make any difference if instead of using 100% as total if we used 90%? so heads would be 45% and tails 45%.
The reason i ask is from a bookmaking and professional bettors point of view.
A true market is 100% but bookmakers usually would set their market to 110% (10% being the juice) but ideally you would look to assess your market from the bettors point of view to around 80%-90% to turn the margin into your favour, as opposed to the bookmaker who bets overound to 110% or therabouts.
So my question is, is there any error in setting the total market to 90% instead of 100?
Well if there is a 10% chance of the coin landing on its edge then your fine.
I assume that is not what you mean, so ignoring side landing.
Yes, your fine but you have to realise that you have changed the definition of percentage probability so it is different to what anyone else means when they use the term. So you will have to be careful to education anyone using your model to the altered definitions. Confusion is likely guaranteed if anyone else uses your model.
Are you sure that what you really want to talk about is conditional probability?