You must be talking about sticky bonuses only, because at least for non-sticky bonuses, it doesn't matter how much you bet, your EV does not change.
You play sticky bonuses so why you don't understand this is baffling. How do you get +EV out of the sticky bonuses you play? If you grind a sticky bonus and never hit sufficient variance to take you above your deposited amount, you will never make a profit from them. Yet you do, I assume. This same principle applies to any bonus, sticky or not, but doing it for fully cashable bonuses is more profitable.
say the WR is 1000 and your target is 200. You have wagered 1000 and you are only at 150. Do you keep playing to hit your target? Why would you since you are playing a negative expectation game. The maximum possible EV is to bet until you have reached the WR EXACTLY, because you expect to lose the least by betting only to the WR and no farther.
Correct. I was giving a simplified example to illustrate the point of targetting. If you have completed the WR and you are at an amount below your target, you have now completed that bonus and you should withdraw. However, betting at $100 per hand with only $200 in your bank it is going to be extremely unlikely, though not impossible.
Here is where you went wrong, you ASSUMED that one of the bets won. You can't do that. What you EXPECT to happen is you lose 1 dollar in each account. You can't say that you expect one account's bet to win and one to lose. You expect BOTH bets to lose 1 dollar each. And thus, you will still have TWO WR's to fulfill, not one like you mentioned in your example.
Surely you would know that if you did 200 of the above bonuses that you would be expected to 'win' 199 of them and the +EV is then as I described it. Just like you could lose the first hand of your card counting play but you know that after 20,000 hands you will be within your expected profit range.
However, if I must (and I would), I would have each player contribute $1 to the zero bet and then when they've won their $199 back each, they go at it again. If zero falls again, they repeat. All of this wagering contributes to the WR, by the way, so it's not all bad. Eventually, one of them will 'win'. And only one of them will have the $0 balance and the other will have the rest. Only one of them will have to complete the WR. Adjustments to the +EV of the bonus can be made to recalculate it but it is still a much higher +EV than grinding out both bonuses.
You never can EXPECT to win on any of your bets playing at a disadvantage. In order to make your "math work", you had to ASSUME that one of the bets won, but that is not correct thinking.
Only if I am going to lose 1000 bets in a row. I am going to win some hands somewhere along the way, surely even you would concede that. And, as QFIT's calculator and the math proves, I will achieve a +2 units target about 50% of the time.
This is getting ridiculous. Ken, zg, Norm? Any contributions or do we leave the potential bonus hunters visiting this forum to search elsewhere for this information? I've explained this to lesser brains than some here and they've grasped this simple concept. 1000's have been doing it for years and making $1000's per month. I tried to share this information with someone that asked how to go about playing such bonuses and I can't believe that card counting math guys can't grasp this.
On this I am so right that I will offer to donate $1000 to our fave guy of the moment (NOT), Rep. Bill Frist if you can prove my math is wrong (it isn't!). And I have no desire to donate even a single dollar to that jerk so believe me (again), this is a safe wager. As safe as any of the math I have produced here.