Can luck be used as a strategy in chess? Consider below games where white looses a clean rook quite early in the opening but fights on hoping that they will be lucky and escape. Lucky enough, they escape and win the clearly lost game.
[Event &quot;Rated Blitz game&quot;]
[Result &quot;1-0&quot;]
[Variant &quot;Standard&quot;]
[TimeControl &quot;300+0&quot;]
[ECO &quot;B21&quot;]
[Opening &quot;Sicilian Defense: McDonnell Attack&quot;]
[Termination &quot;Normal&quot;]
[Annotator &quot;lichess.org&quot;]
[FEN &quot;&quot;]

1. e4 c5 2. f4 { B21 Sicilian Defense: McDonnell Attack } d5 3. e5 Bf5 4. d3 d4 5. g4 Bd7 6. f5 e6 7. Qf3 Bc6 8. Qf2 Bxh1 9. Bg2 Bxg2 10. Qxg2 Nc6 11. Nd2 Qh4+ 12. Kf1 exf5 13. gxf5 Nh6 14. Ngf3 Qg4 15. Qh1 Qxf5 16. b3 Be7 17. Bb2 Nxe5 18. Re1 Bd6 19. c3 O-O 20. cxd4 cxd4 21. Kg2 Qg4+ 22. Kf2 Qf4 23. Re4 Nxd3+ 24. Ke2 Nxb2 25. Rxf4 d3+ 26. Ke3 Rfe8+ 27. Ne4 f5 28. Rh4 fxe4 29. Ng5 Nf5+ 30. Kd2 e3+ 31. Kc3 Be5+ 32. Kb4 Nxh4 33. Qd5+ Kh8 34. Nf7+ Kg8 35. Nh6+ { Black resigns. } 1-0

I have heard in the past that 'It is noble to resign' but if we fight on the stars may be aligned and luck come our way. Can we say that using luck may work as a strategy?
Whether or not to resign is a question of sportsmanship rather than strategy, I would argue. Just according to the rules, you are never forced to resign and can play on until you are checkmated. However, it is expected (to a certain degree) that you resign in a position that is &quot;clearly&quot; lost.
There is no definite definition when a position is &quot;clearly&quot; lost though. If I am down a rook against Magnus Carlsen, I would definitely resign, because the chances of Carlsen blundering and giving me an opportunity to turn the game are infinitesimally small. Similarly, if Carlsen were able to gain a pawn without me gaining any compensation for it, I might resign as well (especially if it were the endgame). Again, Carlsen is expected to turn this advantage into a win eventually, and hoping that he will make an unrealistic mistake would be poor sportsmanship. On the other hand, if I was playing an opponent of my strength level, then a single pawn advantage might not be enough for him to find the win (even though the game might be already lost at perfect play). Instead, I would continue playing against my opponent until he demonstrated that he is aware of how to utilize the advantage to create a win (e.g., by creating a passed pawn that I can only stop by sacrificing another piece).