Coin landing on its edge

I flip a fair Swiss franc* and it falls in mousse**.

What is the probability that the coin stays on its edge after the mousse melts?

*One Swiss franc is about 1 USD; diameter 23.20mm , thickness 1.55mm, weight 4.4g.
During a coin toss, the coin is thrown into the air such that it rotates edge-over-edge several times.

**A mousse (French 'foam') is a prepared food that incorporates air bubbles to give it a light and airy texture.