Ex 13.2, 10 - Chapter 13 Class 12 Probability (Term 2)
Last updated at Feb. 15, 2020 by Teachoo
Independent events
Ex 13.2, 6
Ex 13.2, 10 Important You are here
Ex 13.2, 5
Example 10
Example 11 Important
Example 12 Important
Ex 13.2, 15 (i)
Ex 13.2, 8
Ex 13.2, 7 Important
Ex 13.2, 11 (i)
Ex 13.2, 4
Ex 13.2, 13 Important
Ex 13.2, 14 Important
Ex 13.2, 18 (MCQ) Important
Example 13 Important
Example 14 Important
Independent events
Ex 13.2, 10 Events A and B are such that P (A) = 1/2 , P(B) = 7/12 and P (not A or not B) = 1/4 . State whether A and B are independent ?Two events A & B are independent if P(A ∩ B) = P(A) . P(B) Given, P(A) = 1/2 , P(B) = 7/12 & P(not A or not B) = 1/4 Now, P(not A or not B) = P(A’ or B’) 1/4 = P(A’ ∪ B’) 1/4 = P(A ∩ B)’ As A’ ∪ B’ = (A ∩ B)’ 1/4 = 1 – P(A ∩ B) P(A ∩ B) = 1 – 1/4 = 3/4 Also, P(A) . P(B) = 1/2 × 7/12 = 7/24 Since, P(A ∩ B) ≠ P(A) . P(B) Therefore, the events A and B are not independent