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The intersection of two events in probability is the set of outcomes that are common to both events. It is denoted by $A \cap B$.
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Union: The union of two events includes all outcomes that belong to either event or both, denoted as $A \cup B$.
Mutually Exclusive: Two events are mutually exclusive if they cannot occur at the same time, meaning $A \cap B = \emptyset$.
Conditional Probability: The probability of an event occurring given that another event has already occurred, represented as $P(B|A)$.