If you have a bunch of people tossing dice and stopping when they roll a 1, only ~1/6 will succeed immediately. Most people will take a few tries; a few will take many tries; there's a nonzero chance you will wait forever without a success.
That's not to say that a success gets more likely with time (the Gambler's Fallacy) but on the whole, you'd expect most successes to have some prior failures, unless the dice are rigged.
yes. if success means to roll a 1, and anything else is a failure, you will on average roll the die 6 times before you succeed. E(x) = 1/p for a geometric with p = 1/6. your variance is q/p^2, so 30.
so then, my rational decision as an investor is to quit rolling the die after 17 rolls ( mu + 2 sd = 6 + 2*sqrt(30) = 17 ). I wouldn’t wait until heat death of universe.
> Maybe it’s like a programmer’s blind spot ?
Nah this must come from entrepreneurs , which is a lot more like gambling than science etc.
Like, at all. That’s just classic gambler fallacy.
If you want an example of reverse gambler fallacy, see here - https://news.ycombinator.com/reply?id=20231181&goto=threads%...
There the author says “10k heads have shown up, so 10k tails are waiting to show up”
which is equally rubbish.
There’s this weird thing where people on HN keep falling prey to Gambler’s fallacy. Maybe it’s like a programmer’s blind spot ?