Notice that black's last check is pushing the white king one row away from their passed e-pawn. Once black promotes the b-pawn, white will have to give up the rook for it. After which white's king is simply not in position to cover the advance of the e-pawn and therefore additional tempi will have to be spent with king moves to try and reach ...
The game ended because of the 50-Move-Rule.
The fifty-move rule in chess states that a player can claim a draw if no capture has been made and no pawn has been moved in the last fifty moves (for this purpose a "move" consists of a player completing their turn followed by the opponent completing their turn).
The last capture was made by ...
I don't know the game you have in mind, but the following is one example of such a drawn position in this ending (as can be verified with a tablebase query):
[fen "8/8/1r4kP/6P1/2R2K2/8/8/8 w - - 0 1"]
White has no winning way to break the blockade and make progress. If the blockade is one rank further up the board, though, it can be broken ...
This should be a draw as far as I know and the first step is to get behind the pawn with your rook. Now if black pushes the pawn to the second rank it is an easy draw, because he can never move the rook without you taking the a-pawn and if he tries to protect the a-pawn with the king you will just give checks from behind.
8/R6p/6p1/8/8/1k5P/p5PK/r52 w - a6 ...
The Lucena is one of the most important endgame positions to know, and the nickname for it helps a bunch when trying to figure it out over the board. Remember this phrase - "Building a Bridge."
The idea is to get your rook to the fourth rank. Although the move looks rather odd, the idea is simple. Once you bring your king out, he needs to be protected. Your ...
In short, the plan you proposed is possible, but it is just too slow, even if black allows it, which is not mandatory. If black permits it, here is a simple win that, although I checked it with a computer, I could see it in my head fairly easily, which means those two could see it that much more easily.
[FEN "8/8/1R4p1/4P1P1/2r2K1p/7P/1p6/2k5 w - - 0 1"]
Let's note the following: 1.Rxc2 and 1.Kxf4 and 1.Rd8+ are equally good, since they all draw. If we ignore 1.Rd8+ for now, 1.Rxc2 is clearly at least as good as 1.Kxf4 in the position, since it drives black's king back one square, meaning that black will at some point have to 'waste' a move with the king to get to white's remaining pawns (the option of 1.Rd8+...
In your diagram/game, black is allowed to set up a Lucena position and therefore wins. However, with correct way of harassing the black king, it is possible to prevent that from happening. After 2... Kc5, you can utilize what's called a frontal defense by playing 3. Rg1. In the lines shown below, black simply cannot proceed.
Note, that this defense may or ...
In general, prophylaxis can be used to prevent the rooks getting on the 7th. This is the preferred defense; common challenging moves are to contest open columns with your own rooks, or to guard the 7th rank squares with your minor pieces.
In the case that the rooks are already on the 7th, you should secure the most urgent threats (where your king is or ...
While the accepted answer gives the correct evaluation of the position and a useful link, I think it is important to detail a little bit more the strategy in this interesting rook endgame.
First of all, it is important to notice that Black cannot keep the white king cut away from the pawns. Offering rook exchanges and hiding behind the white rook, the king ...
Two connected pawns usually win, but with a+b pawns, there are some positions which are drawn. I do not know which game you're referring to, but here are some examples:
[fen "8/8/8/3k4/pr6/4R3/1p6/1K6 b - - 0 0"]
(Black to move, from Black's point of view - I forgot how to flip the board.)
The black king is cut off on the third row, while the black rook is ...
As we can see from the other answers, there are two things you should avoid: 1) The pawns getting blockaded. 2) Your king getting cut off from the pawns.
It is not the only way to win, but as a matter of technique it is a good thing to advance the h-pawn before the g-pawn. In this way your king can use the g-pawn to hide both from checks from the side and ...
My plan was to keep the Black rook on the 5th or 4th rank to cutoff
the White king and advance the h and g pawns. But then what?
Your plan is a bad one.
The general rule in rook and pawn endgames is:
Your king protects your pawns
Your rook attacks your opponent's pawns
You can add another one:
Push your passed pawns
As you can see your passed pawns are ...
This answer is intended to expand upon my comments, and give some concrete lines. Let's discuss the position as I (mistakenly) first thought it was presented:
[fen "R7/6p1/P3p1k1/7p/8/6PP/r7/4K3 w - - 0 1"]
This position is a draw, no matter who is to move. If White doesn't play a7, then Black's rook will have the option to pick off one of White's ...
All of the Syzygy tablebases are available here: https://syzygy-tables.info/
These cover all endgames up to 7-man, and provide WDL (win-draw-loss) and DTZ (distance to zeroing move) data. Syzygy also distinguishes between a theoretical win or loss that can actually be forced into a draw by the 50-move rule, and one that cannot.
Here's an example for ...
48.Kf6 should be winning. After say 48...a2, white goes h4-h5-h6 and something involving ...Rh1, Rxa2 Rxh6+, Kg5 followed by Re2 will lead to the Lucena position.
Much earlier on, I believe 31.Kg3 is winning, but it's also the best try by elimination: without an active king (which is the most important non-trivial factor in rook endgames), white won't be ...
The best resource I know for endgame statistics remains the ICGA endgame stats. The spreadsheet posted there contains pretty much all endgames up to 6 men. So for example KQKR is found in row 27 (assuming White has KQ), with the following percentages:
W win 99.01 65.51
draw 0.80 5.83
B win 0.19 28.65
So as long as White has the ...
While it may appear that White can whisk around Black's rook and promote, there is a indeed problem that you have missed: Black can promote first!
White's king is currently in check from Black's rook, so the monarch must be moved to either the f3 or e3, cutting the king off from half of the board.
Since White lost a tempo moving their king, Black now ...
So just why is that f7-g6-h5 setup so important?
Compare the two pawn structures below, one on the kingside where Black has achieved the f7-g6-h5 structure and one on the queenside where White has achieved an advanced equivalent pawn structure.
[FEN "8/p4p2/Pp3Pp1/1Pp3Pp/2P4P/8/8/8 b - - 0 23"]
Now imagine kings on the board and one minor piece, say a ...
After Rxc2 Kxc2 Kxf4 we reach the below position, which is a tablebase draw.
The plan for White is really simple: queen the h-pawn (White can give up the rest of the pawns).
Black king is too far away to help, that is why it is a draw (there are winning techniques for Black, but they require kings to be in close proximity).
Feel free to test my claims with ...
One question to ask is "am I behind or ahead?" If I have some winning edge, it's best to simplify. If I'm behind, it's better to complicate the position.
After that, the question has both tactical and positional elements. If my rook is less active then my opponent's, it's better to exchange. If my rook is more active, then it's better to keep it.
Black has an extra bishop and two extra pawns. Black is completely and easily winning, and white can't do anything really constructive.
Black's easiest way to win is to promote a pawn to queen and then checkmate white; that in turn is easiest if white's rooks are exchanged off (take all rooks off the board, and black just plays a5, a4, a3, a2, a1=Q).
According to Wikipedia, citing Fundamental Chess Endings, such endgames are wins for the side with the queen, unless there's an immediate draw or win for the side with the rook.
However, such endgames are complex enough that even a grandmaster may not necessarily win before 50 moves.
The following explanation is for the general 3 vs 2 pawns on one side situation, which does apply also to this game. Of course the situation is the same whether the pawns are on the a-c files or on f-h files.
This is a fairly simple draw if you follow a few simple rules:
don't exchange rooks
do exchange pawns whenever possible
keep your king close to your ...
You most likely played 50 moves without a capture or a pawn move. This is called the 50-move rule, which results in a draw.
Check back to around move 28. You should see the last capture/pawn move there.
White has a very simple strategy to win this position -
Prevent the g-pawn from being captured for free by the Black king (the Black rook cannot capture it because it is tied to the defense of the a-pawn promoting on a8. White wins if White can win the h-pawn)
Move the White king over to support the promotion of the a-pawn.
At the right moment, occupy the ...
The 7-men databases from Lomonosov are available for free via their Android app.
I've analyzed the traffic between the app and server a while ago, and discovered that it's easy to 'fake' your own calls to the server, so you're not depending on having an Android device nearby anymore. IIRC it worked with FEN strings. I don't have the specifics anymore, and ...
Yes of course, there are more chances for white who has 5 connected pawns to wins instead of black who has a rook. A rook can't check the king all the time and the pawns are always helping each others to get to the final state to get a queen. This problem is usually won by the 5 pawns.