I made a calculation:
On the Eu and Ru Server together there were 154.000.000.000 randoms played.
I devided this number by 40. So there were 3.850.000.000 attempts of winning 40 Games in a row.
With an average winrate of 0,5% (actually its lower beacause of drwas but I neglect this) you have a chance of 0,5^40 winning 40 games in a row. (0,5^40 = 0,000.000.000.000.9)
Now I multiplied the two numbers because it was tried 3.850.000.000 times with a chance of 0,5^40 to win the 40 games in a row.
3.850.000.000*0,5^40 ≈ 0,004
0,004 < 1 so its very unlikely someone won 40 games in a row.
We can actually use the formula games played divided by the games in a row attemptet to win multiplied by the chance winning these games in a row.
It would look like this: 154.000.000.000/x*0,5^x
Now we can insert Numbers for x and calculate it.
I found that with x=32 we are really close to 1:
154.000.000.000 / 32 * 0,5^32 ≈ 1,11
Following my calculations its unlikely someone won more than 32 games in a row.
But is this realistic?
What do you guys think about it?
I have found the statisics of randoms played on