sündmuste

Sündmuste is the genitive plural of sündmus, meaning "of events" in Estonian. In Estonian mathematical writing, sündmuste denotes events in probability theory—the subsets of a given sample space that correspond to outcomes or sets of outcomes that may occur in a random experiment.

Conceptually, a random experiment has a sample space S consisting of all possible outcomes. An event is a subset E ⊆ S that may occur. If E1 and E2 occur, their union E1 ∪ E2 represents the occurrence of either event; the intersection E1 ∩ E2 represents their simultaneous occurrence; the complement E^c consists of outcomes not in E.

Probability assigns numbers P(E) in the interval [0, 1] to events. The foundational axioms require P(S) = 1 and P(E) ≥ 0 for all events E, with additivity over disjoint events: P(E1 ∪ E2) = P(E1) + P(E2) when E1 and E2 are disjoint. Conditional probability is defined as P(A|B) = P(A ∩ B) / P(B) provided P(B) > 0. Events are independent if P(A ∩ B) = P(A)P(B); in general, dependence between events is handled by joint and conditional probabilities.

Applications of the concept include evaluating outcomes in games, experiments, and statistical studies. Examples include rolling a fair six‑sided die, where the event of getting an even number is a subset of the sample space, or drawing a red card from a standard deck. Understanding sündmuste and their probabilities underpins reasoning in statistics, risk assessment, and data analysis.