Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XII  >>  Math  >>  Probability
+1 vote

Two events A and B will be independent, if which of the following is true?

\[ \begin{array} ((A) A\: and \: B \: are\: mutually\: exclusive & (B) P(A′B′) = [1 – P(A)] [1 – P(B)] \\ (C) P(A) = P(B) \quad & (D) P(A) + P(B) = 1 \end{array} \]

Can you answer this question?

1 Answer

0 votes
  • Two events $A$ and $B$ associated with a random experiment are independent if $P(A\cap B)=P(A) P(B)$
  • Also If $A$ and $B$ are independent then $A'$ and $B'$ are independent $P(A')=1-P(A)$
Since $A$ and $B$ are independent $A'$ and $B'$ are independent, By definition of independence of events:
$P(A'\cap B')=P(A')P(B')$ =$[1-P(A)][1-P(B)]$
answered Jun 14, 2013 by poojasapani_1
edited Jun 18, 2013 by balaji.thirumalai

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App