"A method that is easier to understand and does not make use of the sin function is based on the fact that if $\\ X \\sim U(0,1)$ and $\\ Y \\sim U(0,1) $ then $\\ P[X^2 + Y^2 \\le 1] = \\pi/4 $ (see [\"Monte Carlo method\" on Wikipedia].(\n",
"https://en.wikipedia.org/wiki/Monte_Carlo_method) The following code uses this approach:"
"It is then straightforward to obtain a (not really good) approximation to $\\pi$ by counting how many time, on average, $\\ X^2 + Y^2 $ is smaller than 1: "
