The reason total heads/total tails = 50% while avg of the runs =58% is that the runs are different sizes. If you use a weighted avg, it is 50%. There are 16 individual flips, run 1 = 2/4 heads and comprises 4/16 of the data. Multiply 2/4 * 4/16 = 0.125. Do this for all of the runs and add them up for a wtavg of 0.5 heads!
It truly is a great paradox
I think so too! Have you thought about this before?
im going to whip this out at a party
Definitely do.
The reason total heads/total tails = 50% while avg of the runs =58% is that the runs are different sizes. If you use a weighted avg, it is 50%. There are 16 individual flips, run 1 = 2/4 heads and comprises 4/16 of the data. Multiply 2/4 * 4/16 = 0.125. Do this for all of the runs and add them up for a wtavg of 0.5 heads!
This is true! Great explanation. Are you a math enthusiast like me?
@@hunterrehm6165 Definitely! I don't know anyone else who watches this kind of interesting stuff on youtube xD.