Quote from rallymode:
You cant define a bet as a winning bet until you have factored in the distro of outcomes and not just the risk/reward and probability of expiring OTM.
Probability *is* the distribution of the outcomes. Both you and jj90 have an implicit mistrust of a probability model as "not including fat tails". Lognormal distributions are just one model of probability.
Probability is all that matters in trading. If you can pick a chart pattern or technical indicator set that skews the probabilities in your favor (and enough to overcome the house bias of spreads & commissions), you will be a successful trader. If not, you will lose--maybe not today, but in the long term.
Long OTM calls are expensive for a reason--most people want to buy them because they think it's a "good deal". Were humans better able to compute the odds, this bet would be even--if there's a 99.5% chance of winning, the bet would be win $5 or lose $1000. In that case, it simply doesn't matter which side of the bet you take--the market maker would happily either buy or sell calls at that spread. Throw in some vigorish, and you've got a market.
However, people are inclined to buy OTM calls rather than sell them, driving their price up.
Think of it this way: casinos are happy to let you play a slot machine where you bet $1 but can win $1M. Yes, they may lose the very first two bets that are placed, but they know that they'll make it up in the long run. As long as the odds are better than 1M:1, and they can survive an unexpected run of improbable outcomes, they'll let you gamble all day long.
People get into trouble by selling options at a size that makes it "worth their while". They then can't survive the "fat tail".
All of this is predicated on having a probability model you believe in. If you cannot compute the odds, you have no idea if you're taking the right side of the bet. In this particular case, the market thinks the probability of those 600 calls expiring ITM is 4x higher than a lognormal distribution does. Maybe the market has a better model. Maybe people are so happy to take a low probability bet that the price is driven up. The answer is almost certainly "both".