Question: [Here](https://en.wikipedia.org/wiki/R%C3%A9ti_endgame_study), I've read through the famous Réti endgame study. However, there is a possibility that both sides can get a queen. For example, take a look at this variation.

```
[FEN "7K/8/k1P5/7p/8/8/8/8 w - - 0 1"]

1.Kg7 h4 2.Kf6 h3 3.Ke7 h2 4.c7 h1=Q 5.c8=Q+ *

```

I've consulted another Wikipedia page, entitled ["Pawnless chess endgame"](https://en.wikipedia.org/wiki/Pawnless_chess_endgame), and it says "Queen versus queen: usually a draw, but the side to move first wins in 41.75% of the positions." You can also see the table from the "Tables" section, under the "Common pawnless endgames" subsection. It basically states the same thing. In queen vs. queen, the longest win is in 10 moves and the winning percentage is 42%.

I am really not very good at chess, but is the Wiki article totally correct? If it's correct, then, considering my 41.75 percent winning chance, how do I have to play in order to defeat my opponent if he/she and I both get a queen?

Answer: 
"41.75% win" seems even worsely misleading. The value is technically true for a random position: [some stats](https://ulthiel.com/math/other/endgames/), but based on the immensely high probability that QxQ or a skewer wins on the spot. (35%, minus K protects his Q, for the capture alone, see below.) In a "neutral" position the chances are far lower - if you can't capture or skewer the Q immediately, the only longer win is the Polerio ending. (Most illuminating here would be a stats of number of won positions vs. win length, this has been done, but I can't find a reference offhand.) Thus, in the position after queening, you can almost make random moves as long as you don't hang your Q.
In this specific position, there is nothing better than to force a queen trade (and the draw) by playing ... Qb7+.

Most good players would have agreed tp a draw no later than the 3rd move as they know that this position will end with in a draw with just reasonable moves. There are examples of both sides queening, but one sides wins due to an immediate checkmate or winning skewer. With lower rated players or maybe if time is really low, there's a chance for a mistake which would explain the absurdly high win percentage.