HandwovenConsensus

The plummeting should take care of itself from that point. You might need assistance with the rotation though.

Not quite the same, since in my scenario the player loses everything after a loss while in the St. Petersburg Paradox it seems they keep their winnings. But it does seem relevant in explaining that expected value isn't everything.

I'm looking at the game as a whole. The player has a 1 in 8 chance of winning 3 rounds overall.

But the odds of the player managing to do so are proportionate. In theory, if 8 players each decide to go for three rounds, one of them will win, but the losings from the other 7 will pay for that player's winnings.

You're right that the house is performing a Martingale strategy. That's a good insight. That may actually be the source of the house advantage. The scenario is ideal for a Martingale strategy to work.

Well, they have to start over with a $1 bet.

I don't know if that applies to this scenario. In this game, the player is always in the lead until they aren't, but I don't see how that works in their favor.

You're saying that the player pays a dollar each time they decide to "double-or-nothing"? I was thinking they'd only be risking the dollar they bet to start the game.

That change in the ruleset would definitely tilt the odds in the house's favor.

Right, and as the chain continues, the probability of the player maintaining their streak becomes infinitesimal. But the potential payout scales at the same rate.

If the player goes for 3 rounds, they only have a 1/8 chance of winning... but they'll get 8 times their initial bet. So it's technically a fair game, right?

I feel like he was working up to a punchline about haven mistaken a toy for an electric school bus, but for some reason failed to get there.

I've seen other comics where Everett rejected the concept. One was when he told a woman he believed in it (in the sense of wanting it to happen) and threatened to kill children, and another when he told a man who brought it up that he was introducing him to race homicide. (I guess the term "genocide" hadn't entered the vocabulary.)

Also videos that weren't intended for kids but superficially looked like they were got involuntarily flagged as such and had their comments removed.

A separate site would have been a much better solution.

Yeah, I can't speak to the behind-the-scenes drama, but I agree that Pierce was at his best in Season One, where he was a little bit grandiose and a little bit of a jerk but still had moments of wisdom and humanity. I always liked the talk he gave Jeff in the boating episode.

Turning him into a total buffoon villain from season 2 onwards was a change for the worse.