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Its not supposed to be 50/50 in the way you think. Its 50/50 over a single coin flip- your results show it is working as intended in that the result of each flip is not influenced by the results of previous flips.
The issue here is that you are making an incorrect assumption as to what 50/50 means / do not understand basic probability theory.
Except you're getting confuse I think.
If anyone one turn is 50/50 (it's not), then sure, at any point in time any individual flip is 50/50. However, the probability that you go first 0/10 times should be equal to getting 10/10. It flat out is not.
It's exceedingly low probability to go 0/10. Yet, i'd wager most people have seen that. I'd wager extremely few have seen 10/10.
After the tie dagger switch, i counted mine the first 10 days. I hit about 15% of going first. That's not a 50/50 chance. To date, you can't find that it's 'balanced out' either.
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