If the two events A and B are not independent then which of the following is correct?
Conditional probability gives P(A∩B)=P(A)P(B|A), assuming P(A)>0; the slash denotes conditioning. The first product requires independence, expressly excluded. The third…
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If the two events A and B are not independent then which of the following is correct?
Answer and explanation
Correct answer B
Conditional probability gives P(A∩B)=P(A)P(B|A), assuming P(A)>0; the slash denotes conditioning. The first product requires independence, expressly excluded. The third incorrectly repeats A instead of using P(B)P(A|B). The fourth is the probability of neither event, not the intersection. P(A∩B) = P(A)·P(B) P(A∩B) = P(A)·P(B/A) P(A∩B) = P(A)·P(A/B) P(A∩B) = 1−P(A∪B)
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UGC NET Economics