+91-8076753736[email protected]
logo
logo
-->

Probability

Question
CBSEENMA12033634
Wired Faculty App

Events A and B are given to be independent. Find P(B), if it is given that P(A) = 0.40, P(A ∪ B) = 0.70

Solution

P(A) = 0.40, P(A ∪ B) = 0.70
Now    straight P left parenthesis straight A space union thin space straight B right parenthesis space equals space straight P left parenthesis straight A right parenthesis space plus space straight P left parenthesis straight B right parenthesis space minus space straight P left parenthesis straight A intersection straight B right parenthesis
rightwards double arrow space space space space space space space straight P left parenthesis straight A union straight B right parenthesis space equals space straight P left parenthesis straight A right parenthesis plus space straight P left parenthesis straight B right parenthesis space minus space straight P left parenthesis straight A right parenthesis thin space straight P left parenthesis straight B right parenthesis space space space left square bracket because space space straight A comma space straight B space and space independent space events right square bracket rightwards double arrow space space space space space space space space space space space 0.70 space equals space 0.40 plus space straight P left parenthesis straight B right parenthesis space minus space left parenthesis 0.40 right parenthesis thin space straight P left parenthesis straight B right parenthesis rightwards double arrow space space space space space space space space space space space 0.30 space equals space left parenthesis 0.60 right parenthesis thin space straight P left parenthesis straight B right parenthesis rightwards double arrow space space space space space space space space space space space space straight P left parenthesis straight B right parenthesis space equals space fraction numerator 0.30 over denominator 0.60 end fraction space equals space 0.5

Some More Questions From Probability Chapter

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation