Calculate conditional probabilities with various forms of the law of conditional probability,and use them to determine if two events are independent.

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The Answer is The general law of addition is used when we need to find the probability of the union of two events (X or Y or both occurring).The general law of multiplication is used to find the probability of two events X and Y happening together (joint probability).Conditional probabilities are used when we want to incorporate prior knowledge one may have regarding the two events studied.

Calculate Conditional Probabilities with Various Forms of the Law of Conditional