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Rock, paper, scissors, lizard, Spock: counting on chance

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I was never a fan of probability theory, but after I came to know the probabilistic method, I got to truly appreciate probability and all the amazing stuff we can do with it. A friend of mine collects RPG dice, and I gifted her one of those on her last birthday. But with a twist: I told her that there was a $5$% probability that the outcome of rolling it would be not a number, but the word “beagle”. Ok, if you’re as confused as were my friend, it’s rightly so, as this episode didn’t actually happen and as far as I know there are no on-sale RPG dice with the word “beagle” in it. But there’s a weird mathematical consequence of what I said to my friend, and weirdly enough, this has something to do with one of the most fascinating existence proof methods in math. And if you want to add to the weirdness, we can apply the method to a rock, paper, scissors related mathematical problem. Tournaments and its representations The Big Bang Theory fans probably remember the one-of-a-kind “rock,

Greetings!

I don't know what to say first, so let's start with the basics: I finally started my long dreamed math blog and I welcome you to this new and very special place! It took me a while to get here, but I hope my energies keep strong to write more and more about math, one of my favorite places in the whole universe. I'm excited to see where Polyhedron Dream can get. So, let's talk about how this blog will go!  Me First things first, I'll introduce myself: I'm Natália, a 22-year-old girl who loves math and most importantly, to share math! I'm the human of two adorable cats, a long time book worm and a Master's student in Applied Mathematics. I also sporadically do some crochet works and study foreign languages (which I wish I'd dedicate myself for a little bit more, but learning English has got me lazy). That pretty much summarizes my current state of life, but I have a lot more I want to do and need to wait for the right time. But well, that's me, and