kennycar said:
I don't think you add odds up, or even multiply them because they are not unrelated probabilities, the odds of us being unbeaten for the 10th match GIVEN we were unbeaten for the first 9 would be considerably altered.
You multiply the odds to get the probability:
i.e. in a one-off game City are 90% chance to remain unbeaten.
for two successive games: 0.9 x 0.9 = 0.81 i.e. 80% chance
for ten successive games (assuming 90% chance in each game):0.9 x 0.9 x 0.9 x 0.9 ...etc etc for 10 times...= 0.35
(= 35% chance or 1 in 3 or odds of 2/1 against)
We have 27 games remaining...odds of us remaining unbeaten are:
0.95 (easy home game) x 0.9 (more difficult home game) x 0.85 (away game) x 0.65(difficult away game) x 0.9 x 0.95 x 0.8 etc etc (repeat for 27 games at whatever odds you want to put in for each game)
You will end up with at least 50/1 (more likely 100/1)...but bookies have to make a living...so will offer you 10/1.
Lots of confusion in this thread from people who clearly don't bet or understand odds.
It is true that if you bet on city not to lose in each game at a time and roll that bet forward ...you will make a lot more money than 10/1...but you are then faced with making very large bets at end of sequence at rubbish odds.
e.g. staking £500 at 16/1 on ...that City won't lose at home to West Brom.
The benefit of taking the "unbeaten" bet now is that you won't be faced with that decision...in fact the opposite...you would be able to hedge yourself at very favourable odds towards the end of the season.