The addition theorem of probability for two events A and B states that P(A ∪ B) = P(A) + P(B) - P(A ∩ B). This formula accounts for: MCQ with Answer and Explanation
The addition theorem of probability for two events A and B states that P(A ∪ B) = P(A) + P(B) - P(A ∩ B). This formula accounts for:
A. The double-counting of outcomes common to both A and B
B. The conditional probability of A given B
C. The independence of events
D. The complement of event A
Answer: Option A
Solution (By JKSSB Mock Tests)
Subtracting P(A ∩ B) corrects for the fact that outcomes in the intersection are counted twice when adding P(A) and P(B), ensuring accurate probability calculation for the union.
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