  There has been an increasing interest in the quantification of nearly
deterministic work extraction from a finite number of copies of microscopic
particles in finite time. This paradigm, so called single-shot
epsilon-deterministic work extraction, considers processes with small failure
probabilities. However, the resulting fluctuations in the extracted work
entailed by this failure probability have not been studied before. In the
standard thermodynamics paradigm fluctuation theorems are powerful tools to
study fluctuating quantities. Given that standard fluctuation theorems are
inadequate for a single-shot scenario, here we formulate and prove a
fluctuation relation specific to the single-shot epsilon-deterministic work
extraction to bridge this gap. Our results are general in the sense that we
allow the system to be in contact with the heat bath at all times. As a
corollary of our theorem we derive the known bounds on the
epsilon-deterministic work.
