# Saint-Petersburg Paradox

This is a paradox where you get paid $2_{n}$ dollars for the number of heads you hit in a row before you hit a tails.

The Expected Value is $1+1+1⋯=∞$, since you have $2_{1}2_{1}1 +2_{2}2_{2}1 +⋯$ where the denominator represents the probability of the action happening, and the numerator is the payout.