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Match List - I with List - II.

List - IList - II
(A) If A and B are mutually exclusive events, then P(A∪B)=P(A \cup B) =(I) P(A∩B)P(B),P(B)≠0\frac{P(A \cap B)}{P(B)}, P(B) \neq 0
(B) If A and B are independent events, then P(A∩B)=P(A \cap B) =(II) P(A∩B)P(A),P(A)≠0\frac{P(A \cap B)}{P(A)}, P(A) \neq 0
(C) If A and B are two events of a sample space of an experiment, then P(A/B)=P(A/B) =(III) P(A)⋅P(B)P(A) \cdot P(B)
(D) If A and B are two events of a sample space of an experiment, then P(B/A)=P(B/A) =(IV) P(A)+P(B)P(A) + P(B)

Choose the correct answer from the options given below :

Solution

✅ Correct Option: 1

(A) Mutually exclusive: P(A∪B)=P(A)+P(B)P(A \cup B) = P(A) + P(B) (IV).

(B) Independent: P(A∩B)=P(A)⋅P(B)P(A \cap B) = P(A) \cdot P(B) (III).

(C) P(A/B)=P(A∩B)P(B)P(A/B) = \frac{P(A \cap B)}{P(B)} (I).

(D) P(B/A)=P(A∩B)P(A)P(B/A) = \frac{P(A \cap B)}{P(A)} (II).

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