i think i mentioned it briefly in the previous video i found that the chance of getting two in the beginner is NUMBER_TOKEN or something meaning you have a rare NUMBER_TOKEN chance of not meeting it so let's explore this i've conducted a more accurate simulation and indeed boards without twos are indeed rare one in about NUMBER_TOKEN NUMBER_TOKEN but it's not the rarest thing no no no no what if mines are so evenly covering the board keeping a safe social distance of two cells from each other but not further than that what if they do that and there are no zeros on the board is it possible turns out yeah it is in about NUMBER_TOKEN in NUMBER_TOKEN NUMBER_TOKEN words here are a few examples of such boards finally and you thought it can't get any rarer what is the chance of getting a board without once this was one of the comments to the previous video and now when i simulated it it looks like it indeed could happen and one in about NUMBER_TOKEN million boards are like that final thing to look at what is the chance of winning a game of minesweeper in exactly one click this is something i became aware of accidentally because i got one of those i even saved the screenshot i honestly thought i found something as unique and wonderful as the coveted eight but actually turns out such one-click wins are rare but not too rare so how rare those one-click games really are to answer this let me introduce you again to something called NUMBER_TOKENbv NUMBER_TOKENbv is a property of a minesweeper board and it's the minimal number of clicks needed to solve the board look boards are random so some can naturally be harder or easier than others NUMBER_TOKENbv tries to measure and sometimes limit that amount of luck for example for the world record there's a limit of NUMBER_TOKENbv you can think about it this way the bigger area you can potentially open with zeros the smaller is NUMBER_TOKENbv with NUMBER_TOKENbv equals NUMBER_TOKEN you can open the whole board with exactly one click now let's take some measurements here they are and turns out one in about two hundred thousand beginner games are like that so i did get quite like it that one time i got it i didn't manage to find any one-click intermediate or expert games they are of course possible but extremely improbable the lowest i could find was NUMBER_TOKEN for intermediate and NUMBER_TOKEN or expert alright i guess this is it for the rarer things you can find on a minesweeper board and if you are still watching this just think about it it's a video about numbers patterns in a very abstract computer game and it's probably NUMBER_TOKEN or NUMBER_TOKEN minutes long and you're still here on a scale of NUMBER_TOKEN to NUMBER_TOKEN i will rate your nerdiness eight alright thank you for sticking around i hope to have something even more action-packed for the next video like and subscribe if you enjoyed this video and i hope to see you in the next one bye
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