# Flip a biased coin and win/lose money

We flip a biased coin 100 times.

H: Coin lands on the head

T: Coin lands on the tail

Let $$P(H)=\frac{2}{3}$$ and $$P(T)=\frac{1}{3}$$.

Suppose that we win 1 dollar if the coin lands on its head, and lose 1 dollar if it lands on its tail.