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I know there have been many videos and tests proving the coin flip to be fifty fifty, but I've been counting and since my last heads, I've flipped thirteen tails, so I'm fairly sure that the thing is rigged to hell and back.
Nah, hate to break it to you, but you've just been really unlucky. =/
Even went and did the math for you, it's a 0.01% chance of that happening, which isn't that Farfetch'd
If there's a fifty percent chance of getting tails, getting tails 13 times in a row will happen 1 out of 2^13 times = 1/8192 times. Which, coincidentally is the EXACT same chance as finding a shiny Pokemon by randomly walking through tall grass.
And even so, just this one example doesn't say anything whatsoever on the mathematics of the game... I could just counter your claim by saying I've landed 3 heads in a row. Or that would mean I'm part of the riggers
Yeah, you've been really unlucky. My coin flips are probably at slight edge toward heads overall as I've gotten pretty lucky on flips.
Also, there's a big problem with your sample size as you've only got 13 points in your data set. It's small enough to not be significant even though it feels crucial in all of your matchups. Your odds will eventually turn.