Explain the concept of conditional independence in probability theory.

  • It is another term for mutual exclusivity
  • It means that the independence of two events does not depend on the occurrence of any other events
  • It means that two events are independent only when a third event does not occur
  • It means that two events are independent only when a third event occurs
Conditional independence in probability theory refers to a situation where two events are independent given the occurrence of a third event. Mathematically, two events A and B are conditionally independent given a third event C if the probability of the intersection of A and B given C is the product of the probabilities of A given C and B given C.
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