Addition Theorem of Events MCQ Quiz in मराठी - Objective Question with Answer for Addition Theorem of Events - मोफत PDF डाउनलोड करा

Calculation

P(A∩B) = ⇒ P(A)P(B) = ...(1)

P(A'∩B') = ⇒ P(A∪B) = 1 - =

⇒ P(A) + P(B) - P(A)P(B) =

⇒ P(A) + P(B) = + =

From (1),

P(A)( - P(A)) =

⇒ P(A)² - ()P(A) + = 0

⇒ 12P(A)² - 7P(A) + 1 = 0

⇒ 12P(A)² - 4P(A) - 3P(A) + 1 = 0

⇒ (3P(A) - 1)(4P(A) - 1) = 0

∴ P(A) =  or P(A) =

P(B) = × 3 ⇒ P(B) =

P(B) =  × 4 ⇒ P(B) =

∴ P(A) = , P(B) =

Hence option 1 is correct