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## Explanation This question appears to be incomplete in the provided text. The law of total probability states that if B₁, B₂, ..., Bₙ form a partition of the sample space (i.e., they are mutually exclusive and exhaustive events), then for any event A: P(A) = P(A|B₁)P(B₁) + P(A|B₂)P(B₂) + ... + P(A|Bₙ)P(Bₙ) The key condition is that the probabilities of the conditioning sets must sum to 1, meaning they form a complete partition of the sample space. Since the question is incomplete and no options are provided, I cannot determine the correct answer choice. The question appears to be cut off in the middle.
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The law of total probability is an important application of conditional probability, which states that the total probability of an event can be reconstructed using conditional probabilities under the condition that the probability of the sets being conditioned is equal to 1. Which of
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