How is it that when you flip a coin 10 times, the likely hood that it’ll land on heads 10 times in a row is extremely small but the likely hood that it’ll land on heads is 50/50 if it already landed on heads 9 times? I get that it’s a closed system and its roughly 50/50 for every coin flip but my brain is just telling me that it should be a higher chance that it would land on tails instead of heads. How does this work?
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From the mathematical point of view:
P(10 times heads) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5=0,0009765625
P(1 time head after 9 times head)=0.5
Probability multiplies with every tossed coin, if you are interested in only one outcome after 9 other its only this outcome that matters.
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