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The video tutorial introduces the concept of complementary events in probability. It explains that an event is a subset of a sample space, providing examples such as rolling a die or flipping a coin. The complementary event is defined as the non-occurrence of the original event. The tutorial emphasizes that the sum of the probabilities of an event and its complement equals one, illustrating this with examples. This fundamental concept helps in understanding the binary nature of events in probability, where an event either occurs or does not.

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