CBSE Class 12 Sample Paper for 2020 Boards

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Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Question 4 - CBSE Class 12 Sample Paper for 2020 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by

If A and B are two events such that P(A) = 0.2 , P(B) = 0.4 and P(A ∪ B) = 0.5 , then value of P(A|B) is ?

(a) 0.1             (b) 0.25             (c) 0.5             (d) 0.08

If P(A) = 0.2 , P(B) = 0.4 and P(A U B) = 0.5, then value of P(A|B) is

Question 4 - CBSE Class 12 Sample Paper for 2020 Boards - Part 2

Transcript

Question 4 If A and B are two events such that P(A) = 0.2 , P(B) = 0.4 and P(A ∪ 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) = (𝑃(𝐴" ∩ " 𝐵))/(𝑃(𝐵)) Finding P (A ∩ B) Now, P(A ∪ B) = P(A) + P(B) – P(A ∩ B) 0.5 = 0.2 + 0.4 – P(A ∩ B) 0.5 = 0.6 – P(A ∩ B) P(A ∩ B) = 0.6 – 0.5 P(A ∩ B) = 0.1 Now, P(A|B) = (𝑃(𝐴" ∩ " 𝐵))/(𝑃(𝐵)) = 0.1/0.4 = 1/4 = 0.25 So, correct answer is (c) 0.25 1 mark

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.