user23852: With Black to move, is there a possibility to win in this position?
[FEN "3rk2r/1p2q2p/1Q1p1Bpb/1R1N3n/1P6/5N2/1P3PPP/4R1K1 b k - 0 1"]


user12873: The position is resignable for Black. White is already up a piece, and is about to win Black's queen for a rook. Technically it's possible White could play some horrible blunder and allow Black to win, but this could be said about any position where the losing side has mating material.

user4418: 
With Black to move, is there a possibility to win in this position?

Of course there is. If White's flag fell then this would be a win for black.
Here is one simple winning continuation for Black
[FEN "3rk2r/1p2q2p/1Q1p1Bpb/1R1N3n/1P6/5N2/1P3PPP/4R1K1 b k - 0 1"]

1... Nxf6 2. Nd4 Qxe1++

Of course the White move is very bad and only someone who is trying to lose (or teaching a young child to spot back rank mates) would play it but it is one of many possible ways that Black could win. 
Of course in a normal competitive game it is never going to happen. With reasonable, half competent play by white black is going to lose.

user11629: At a cursory glance you see that...

white is up a piece and a pawn, 
the black queen is pinned to the king and will be lost, 
white's pieces are much more active than black's
white's king is safer than black's
....

So no, there is nothing, really nothing in favour of black here. The only thing which needs to be checked is that Qxe1 is not mate, but in a millisecond you see that the rook is protected by the knight on f3.

23852: <p>With Black to move, is there a possibility to win in this position?</p>

<pre><code>[FEN "3rk2r/1p2q2p/1Q1p1Bpb/1R1N3n/1P6/5N2/1P3PPP/4R1K1 b k - 0 1"]
</code></pre>
 12873: <p>The position is resignable for Black. White is already up a piece, and is about to win Black's queen for a rook. Technically it's possible White could play some horrible blunder and allow Black to win, but this could be said about any position where the losing side has mating material.</p>
 4418: <blockquote>
  <p>With Black to move, is there a possibility to win in this position?</p>
</blockquote>

<p>Of course there is. If White's flag fell then this would be a win for black.</p>

<p>Here is one simple winning continuation for Black</p>

<pre><code>[FEN "3rk2r/1p2q2p/1Q1p1Bpb/1R1N3n/1P6/5N2/1P3PPP/4R1K1 b k - 0 1"]

1... Nxf6 2. Nd4 Qxe1++
</code></pre>

<p>Of course the White move is very bad and only someone who is trying to lose (or teaching a young child to spot back rank mates) would play it but it is one of many possible ways that Black could win. </p>

<p>Of course in a normal competitive game it is never going to happen. With reasonable, half competent play by white black is going to lose.</p>
 11629: <p>At a cursory glance you see that...</p>

<ul>
<li>white is up a piece and a pawn, </li>
<li>the black queen is pinned to the king and will be lost, </li>
<li>white's pieces are much more active than black's</li>
<li>white's king is safer than black's</li>
<li>....</li>
</ul>

<p>So no, there is nothing, really nothing in favour of black here. The only thing which needs to be checked is that Qxe1 is not mate, but in a millisecond you see that the rook is protected by the knight on f3.</p>
