Stop Complaining about "No Won". Mathematical Explanation Inside.

I see people complaining about that all the time, posting topics like "1000 Entries & Reached 1 Estim. Win but No Gift Won?"
(They're called "emmenic topics" in Chinese because they've been posted in every period of time.)

Here I'm going to explain that in terms of math.

Explanation

We know that: lim(n->∞)(1+1/n)^n = e (a constant roughly equals 2.718)
Thus, lim(x->∞)(1-1/x)^x = 1/e = 0.368 (approx.)
As x>50, this approximation is applicable.

What does it mean?

For instants, if you keep entering giveaways which have 200 entries, the probability that you will reach 1 estimated win but you have not won anything is:

(1-1/200)^200 = 0.367

Which means you have a prob. of 36.7% (more than 1/3) reaching 1 estimated win with no gift won. Get it?
That is, more than 1/3 of us had no gift won by the time our estim. win reached 1.
Further, more than 1/9 .............................................ditto............................................. = 2.

And so on.

Hence, its more probable for you to reach 5 est. win with no game won (chance 1/148) than to win a g.a. with 150 enties.

Correction is welcomed if I wrote anything wrong.
And thanks for reading. MERRY CHRISTMAS!

P.S. Who said I was complaining? I was just doing math.