I was responding to the hypothetical example of betting it all on flipping a coin 12 times to get from X to Y.

i'm not sure what your point is. this is a just a large 35x bet. turning $500 into $1M is 2000x. what casino game can you play that would get you there?

again, outside of essentially winning at a slot machine I don't know a game where you can turn $500 to $1M.

the insight here is that options buying is asymmetric. max loss for essentially unlimited gain if you bet in the right direction. there isn't a casino table gain that has the same quality.

i'm also not suggesting this is not speculative or not akin to gambling, but the risk/reward for options buying is better than a casino. it's also not an "all or nothing" bet. You can sell for partial losses without losing everything if it goes in the wrong direction, whereas table games are generally "all or nothing".