When does your vote on a popular post break even? Yours.org got it wrong!
According to https://www.yours.org/faq/, first quarter of voters always profit. This is not wrong but a very engineery answer to a simple mathematics problem that can be much more accurately answered using calculus.
The more accurate statement should be:
The first third of voters always profit.
The most precise statement is "The first 36% of voters always profit".
Suppose you voted according to the below order:
Your payment and earnings are below as described in https://www.yours.org/faq/
In order to break even, the following must hold:
Here is where we stand on the shoulders of the giants. Above sum can be approximated very accurately. See https://en.wikipedia.org/wiki/Harmonic_number.
What you get is the below equation which can be solved easily
So there it is. The true for breaking even is 1/e. That is, if 10 people voted before you, then in order for your vote to break even there must be a total of at least 28 voters.