i think the mistake comes from the fact that

50% is the constant event no matter what the past or what the future data, if the event is truly random then coin flip having 2 sides and only able to land on 1 side will always yield 50% (assuming the coin is tossed with the same force, the sides weight equally wind etc...all remains constant, and random)

we are able to calculate the probability of % of heads and tails on a 9 toss series however once we toss the coin 50% is our probability independently of our prior calculations. any streaks are pure luck and is not an indication of future events.

at the end of the day the math should cancel off leaving the probability of heads to be 50% as in tails so in 9 tosses we expect 4 tails 4 heads and 1 completely random toss, however we could have 9 heads in a row and that would be just luck as the actual coin toss is 50/50

2 sides divided by one possible outcome

50% is the constant event no matter what the past or what the future data, if the event is truly random then coin flip having 2 sides and only able to land on 1 side will always yield 50% (assuming the coin is tossed with the same force, the sides weight equally wind etc...all remains constant, and random)

we are able to calculate the probability of % of heads and tails on a 9 toss series however once we toss the coin 50% is our probability independently of our prior calculations. any streaks are pure luck and is not an indication of future events.

at the end of the day the math should cancel off leaving the probability of heads to be 50% as in tails so in 9 tosses we expect 4 tails 4 heads and 1 completely random toss, however we could have 9 heads in a row and that would be just luck as the actual coin toss is 50/50

2 sides divided by one possible outcome

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