Hey, let’s play a game!

I’ve got 4 dice here. We both pick a die, and then roll to see who gets the higher number. And since you’re my guest, I’ll let you pick your die first, and then I’ll pick mine. Sounds good?

Oh, I almost forgot to mention. My dice are numbered a bit strangely…

If we actually played this game a couple of times, you might start to notice something. No matter what die you pick, I tend to win more than my fair share of the time.

Why would that be? Am I master dice roller? Or did I embed an evil high-tech device inside my dice to make them come up with high numbers only when I roll them?

No… my winning strategy is much more trivial, based on simple mathematics.

In fact, no matter what die you pick, I can pick a die that beats yours two thirds of the time. I just need to pick the die that’s to the left of your die in the picture above.

And you thought I was being nice by letting you pick your die first :p