# Random dating roulette

Buffon's needle can, therefore, be used to simulate a random variable $X \sim \text(\frac)$ or $X \sim \text(n,\frac)$, and we can adjust the probability of success by altering the lengths of our needles or (perhaps more conveniently) the distance at which we rule the lines.
It seems there is no such thing as a "weighted coin" but if we wish to vary the probability parameter of our Bernoulli or binomial variable to values other than $p = 0.5$, the needle of Georges-Louis Leclerc, Comte de Buffon will allow us to do so.
To simulate the discrete uniform distribution on  we roll a six-sided die.
But there also exists a very clever way of simulating those variates If you do not have access to this clock, you can replace this uniform generator by a mechanistic uniform generator, like throwing a dart on a surface with a large number of unit squares $(0,1)^2$ or rolling a ball on a unit interval $(0,1)$ with enough bounces [as in Thomas Bayes' conceptual billiard experiment] or yet throwing matches on a wooden floor with unit width planks and counting the distance to the nearest leftmost separation [as in Buffon's experiment] or yet further to start a roulette wheel with number 1 the lowest and turn the resulting angle of 1 with its starting orientation into a uniform $(0,2\pi)$ draw.