If A and B are two events such that P(A) = 0.2 , P(B) = 0.4 and P(A āŖ B) = 0.5 , then value of P(A|B) is ?
(a) 0.1Ā Ā Ā Ā Ā Ā Ā (b) 0.25Ā Ā Ā Ā Ā Ā Ā (c) 0.5Ā Ā Ā Ā Ā Ā Ā (d) 0.08
CBSE Class 12 Sample Paper for 2020 Boards
CBSE Class 12 Sample Paper for 2020 Boards
Last updated at August 4, 2026 by Teachoo
Transcript
Question 4 If A and B are two events such that P(A) = 0.2 , P(B) = 0.4 and P(A āŖ B) = 0.5 , then value of P(A|B) is ? (a) 0.1 (b) 0.25 (c) 0.5 (d) 0.08 We know that P(A|B) = (š(š“" ā© " šµ))/(š(šµ)) Finding P (A ā© B) Now, P(A āŖ B) = P(A) + P(B) ā P(A ā© B) 0.5 = 0.2 + 0.4 ā P(A ā© B) 0.5 = 0.6 ā P(A ā© B) P(A ā© B) = 0.6 ā 0.5 P(A ā© B) = 0.1 Now, P(A|B) = (š(š“" ā© " šµ))/(š(šµ)) = 0.1/0.4 = 1/4 = 0.25 So, correct answer is (c) 0.25 1 mark