Over the past few years I have notices some interesting patterns in the posts on this website. They have lead me to come up with an interesting mathematical conjecture. It goes as follows:

$<br /> \lim_{n \to \infty}P(\frac{\sum_{k=1}^{n}X_k}{n})\to1<br />$

X is a random variable. It is 1 when the post is arguing about trannies, 0 otherwise.
n is the number of posts in the thread

does anyone have any suggestions on how I can prove this?