Monte Carlo methods are often useful for solving problems in physics and mathematics, which cannot be solved by analytical means.
The goal of this virtual-lab is to obtain an approximated value of PI, using a Monte Carlo method.
Next, we describe briefly how this method is used to estimate PI.
Imagine that we are throwing a dart over a square surface of side 1 m.
There is a circle of radius 1 m. inscribed in the square.
Assuming that the probability is uniformly distributed, the probability of hitting inside the circle is equal to PI/4.
Dividing the number of hits by the number of throws, it is obtained an estimation of PI.
We will obtain a better approximation by increasing the number of throws.
This virtual-lab allows the user to select the number of throws, with a maximum of 10000 throws.