I've been looking at Monte Carlo simulation recently, and have been using it to approximate constants such as $\pi$ (circle inside a rectangle, proportionate area).

However, I'm unable to think of a method of approximating the value of $e$ using Monte Carlo simulation.

Do you have any pointers on how this can be done?

I've been looking at Monte Carlo simulation recently, and have been using it to approximate constants such as $\pi$ (circle inside a rectangle, proportionate area).

However, I'm unable to think of a corresponding method of approximating the value of $e$ [Euler's number] using Monte Carlo integration.

Do you have any pointers on how this can be done?

I've been looking at Monte Carlo simulation recently, and have been using it to approximate constants such as PI (circle inside a rectangle, proportionate area).

However, I'm unable to think of a method of approximating the value of e using Monte Carlo simulation.

Do you have any pointers on how this can be done?

I've been looking at Monte Carlo simulation recently, and have been using it to approximate constants such as $\pi$ (circle inside a rectangle, proportionate area).

However, I'm unable to think of a method of approximating the value of $e$ using Monte Carlo simulation.

Do you have any pointers on how this can be done?