I estimate the probability of BFL not meeting their 350 Mhash/Joule target to be greater than 0.2%.
Couple of things here..
1) Is there any math behind this or is it just a random number you thought of? I get that's where the 500:1 odds come in, but I was wondering if there's anything to back up the claim.
I just figure with them missing their previous target, a 0.2% chance that they'll miss their current one is pretty low. But of course there's no way to know this for sure. The 500:1 was really just a random number I thought of in order to prove my point that without knowing the odds of a bet, there's no way to know if it is a good bet or not. I didn't think anyone would accept that bet.
With regards to profitability, the 0.2% probability comes from the odds, which are 500:1. If I place a bet saying that an event will occur, and I get 500:1 odds, then if that event happens more often than 0.2% of the time I will be profitable in the long run.
Let's say the event happens 0.3% of the time. Then 997 out of 1000 times I will lose 1 unit, and 3 out of 1000 times I will win 500 units. That's an average profit of 3*500-997=503 units per 1000 bets.
2) You're estimating that the probability of BFL not meeting their target is greater than 0.2%? That's saying the probability of BFL meeting their goals is less than or equal to 99.8%. So you're saying that you have no idea what the chances are...but you figure you'll cover almost the entire spectrum by stating "greater than 0.2%"
Well, I don't
know the probability as such, but I estimate that it's less than 99.8% of them meeting the target.
Say I went into a casino. I walk up to a game that says the odds of winning aren't known, but there is up to a 99.8% you'll lose. Would you really play that game?
No. Without knowing the odds there's no way to know if it would be profitable. If, however, the odds are greater than 500:1, I would take the bet, as it would be profitable in the long run (see previous example).
All of this actually started from a comment I made regarding the bet on betsofbitcoin, where my point was that without knowing the odds there's no way to know if the bet is good or not.