It still depends on the chances of it happening and the cost of entry as to whether it is right for you to bet on it. Just because you will always win in the long run doesnt mean you will get there, in the long run we are all dead.
The odds of winning the National Lottery are 1 in 13,983,816. If the Jackpot was £14m then buying a ticket is a value bet. Im stil not sure I would buy a ticket expecting to make money from it, it is so likely I will lose £1 I would rather keep the £1 and forgoe the EV.
Coming from another angle somebody may offer me odds of 2.2 on the toss of a coin, which is a 50/50 bet (Odds of 2). So that is value there and odds above true odds. If it cost £1 to play I would all day long without thinking, £10 I would play it, I would probably play at £100 a time. If the guy said I could play that game at those odds but I HAD to play at £10,000 a throw, I would
not play. It is the same +EV bet, but I could not afford to lose £10k, so again I would have to forgoe the EV. The first rule of gambling club is dont gamble with more than you can afford to lose.
You get the idea, just because something is +EV that means you should always take it given an infinite bankroll and an infinite length of time. If you dont have those, there are times and reasons to turn +EV offers down. I think so anyway.
It is true that if the factors are all right for you then you should do +EV offers because in the long run you cant lose. You may mean this thread and it is pretty much shown that you will never get considerably over or under the EV line:
http://www.thegamblingtimes.com/boar...ndy-right.html