Simulating a 2:3 Odds Ratio with Fair Coins

You have two fair coins. A colleague asks you to simulate a random outcome where heads occurs with probability $\frac{2}{5}$ and tails with probability $\frac{3}{5}$ -- a 2:3 ratio -- using only these coins. Design a procedure using only flips of these two fair coins that produces a binary outcome (call it H or T) with exactly $P(H) = \frac{2}{5}$ and $P(T) = \frac{3}{5}$. Your procedure may use as many flips as needed, but each flip must be of a fair coin.