#### Topic: To calculate probability of an outcome of a batch

Children, help , and that with mathematical apparatus not so.
There are two chess players with rating : https://ru.wikipedia.org/wiki/_
As I understood, for calculation of rating  Gaussian distribution (normal distribution) is used.
looks so: A - the Difference of ratings. In - Expected result for the player with higher rating. About Expected result for the player with lower rating
AND IN WITH
0 0,5 0,5
25 0,53 0,47
50 0,57 0,43
100 0,64 0,36
Etc.
In chess three results (a victory white, a drawn game, a victory black) are possible.
Let's admit, at player A a rating X, and at player B rating Y.
How to calculate probability of victory A, probability of victory B and probability of a drawn game? Under what formulas?

#### Re: To calculate probability of an outcome of a batch

Steepe_Hare wrote:

How to calculate the probability of victory A, probability of victory B and probability of a drawn game? Under what formulas?

In any way. Them it is simply impossible to calculate under this data. The most obvious example: for contenders with an equal rating of Elo gives coefficient 0.5 And this coefficient can be received, for example, such methods:
50 % a victory And, 50 % a victory, 0 % a drawn game
49 % a victory And, 49 % a victory, 2 % a drawn game
...
The expert) 0 % a victory And, 0 % a victory, 100 % a drawn game
As you will select correct from these variants - I suggest to think independently