THE INDEPENDENCE OF EVENTS IN PROBABILITY THEORY
Keywords:
Independence, Events, Probability Theory, Statistical Analysis, Random ExperimentsAbstract
The concepts of independence and conditional independence of random events and random variables play a very important role in probability theory and mathematical statistics. This thesis examines the concept of independence of events in probability theory, highlighting its importance in statistical analysis and decision-making. We define events, explore their relationships, and present the mathematical criteria for determining independence. Through illustrative examples, we elucidate the practical implications of independent events, enhancing our understanding of this fundamental concept.
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