Central limit theorem

Whenever you toss your coins, you are close to normal distribution.

You can see Gaussian function.

μ is the average, and σ^2 is the distribution.

Y is E(X).

---

I tossed coins 100 times.

NORMDIST(x,0.5,(x-0.5)^2,0)

You may have 80% of the head once (1.7%). When you are around Y which is the average, it is almost Zero. You need to go far beyond that. It is quite rare.0.5 is null, and 0.8 and 0.2 are symmetry.

NORMDIST(0.8,0.5,(0.8-0.5)^2,1)≒0.999

X=0.6 is 100%

The average is normal and Zero, but 9/10 and 10/10 is the difficulty. It is narrower and close to Zero. You may talk about singularity.