# Ex 13.2, 10 - Chapter 13 Class 12 Probability

Last updated at Dec. 8, 2016 by Teachoo

Last updated at Dec. 8, 2016 by Teachoo

Transcript

Ex 13.2, 10 Events A and B are such that P (A) = 12 , P(B) = 712 and P(not A or not B) = 14 . State whether A and B are independent ? Two events A & B are independent if P(A ∩ B) = P(A) . P(B) Given, P(A) = 12 , P(B) = 712 & P(not A or not B) = 14 Now, P(not A or not B) = P(A’ or B’) 14 = P(A’ ∪ B’) 14 = P(A ∩ B)’ 14 = 1 – P(A ∩ B) P(A ∩ B) = 1 – 14 = 34 Also, P(A) . P(B) = 12 × 712 = 724 Since, P(A ∩ B) ≠ P(A) . P(B) Therefore, the events A and B are not independent

Chapter 13 Class 12 Probability

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