"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](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 times, on average, $X^2$ + $Y^2$ is smaller than 1:"
