Let A and B are two independent events. STATEMENT-1: If P(A) = 0.3 and P(A B) = 0.8 then P(B) is 27. STATEMENT-2: P( E) = 1 - P(E) where E is any event.

JEE Advanced Mathematics question

Let and are two independent events. STATEMENT-1: If and then is . STATEMENT-2: where is any event.

(A)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1Correct
(B)Statement-1 is True, Statement-2 is True; Statement-2 is *Not* a correct explanation for Statement-1
(C)Statement-1 is True, Statement-2 is False
(D)Statement-1 is False, Statement-2 is True

Answer: (A)

**Statement-2:** Complement rule. **True.** - **Statement-1:** By De Morgan, . Using Statement-2 and independence of :

P(A B) = 1

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Question ID VK-110327