I flipped 100 coins
I flipped a 20 eurocent coin a hundred times, to see what happened to the variance.
=0= 0:0
0
1
1
1
1
1
0
1
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1
=10= 3:7
1
1
1
1
0
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1
0
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1
=20= 5:15
1
1
1
0
0
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1
=30= 11:19
0
0
0
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1
0
0
1
1
1
=40= 17:23
0
1
1
0
1
0
0
1
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1
=50= 22:28
0
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1
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1
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=60= 29:31
1
0
0
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1
0
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1
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1
=70= 33:37
1
1
0
0
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0
=80= 39:41
0
0
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0
=90= 46:44
0
0
0
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1
0
1
0
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0
=100= 54:46
Results:
Biggest difference is after flip #23 where the score is 5:18, a 13 point difference.
Longest string of the same side is 7 times 0 (flip 78 through 85).
If these numbers represent full stacked 60/40 through 40/60 flips then we should expect a lot of short-term variance. And that's only one aspect of the variance of the game.
It does seem to even out though. So keep trying to make good decisions and try to forget the results.
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