The sample space, denoted by $S$, refers to the set of all possible outcomes of an experiment.
The space of events, denoted by $F$ or $P(S)$, represents the set containing all possible events that can occur in an experiment.
Any subset of the sample space representing a particular outcome or combination of outcomes.
$$ P(E) = P(E \cap H_1) + ..... +P(E \cap H_n) \; Law \;of \;total \;probability $$
$$ H_i \cap H_j = \phi \; Mutually \; Exclusive $$
$$ U_{i=1}^K H_i = \Omega \; Collective\; Exhaustive $$