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I came up with a betting system that seems to defy logic... explain why its wrong?
Here's the "logic" behind it
Rule: If you flip a coin enough times(x) the number of heads(H) and tails(T) will be equal to each other (law of large numbers?)
H + T = x AND 1/2H = 1/2T AND 1/2H / 1/2T = 1
This could happen at after flipping HT or THTTHH or HHTHTHTT... extra
And Now The System!!!
The first bet(more like lack of bet) you make is for $0, you have 1/2H / (1/2H + 1/2T) chance of getting heads.
The coin flips tails. Therefor x is now x-1 and T is now T-1 and H is still the same. So now you have 1/2H / (1/2H + 1/2T - 1) chance of flipping heads. Because 1/2H / (1/2H + 1/2T) = 50% chance of flipping heads and 1/2H / (1/2H + 1/2T - 1) is not equal to 1/2H / (1/2H + 1/2T) then 1/2H / (1/2H + 1/2T - 1) is not equal to a 50% chance of flipping heads. How can this be?
PLEASE do not say every time the next flip will be heads or tails, therefor you have a 50% chance of flipping heads... of course I know this!!! I want to know what is wrong with my logic not that it is wrong, I already know that it is wrong...
On a side note this system would never work in a real life senario because no casino offers 1:1 odds which this system needs.
The system itself is
- Watch first flip
- Bet on opposite of flip amount of money you want to profit
- Continue making bet until heads and tail flips are equal