logo

Ask Questions, Get Answers

X
 
Home  >>  CBSE XII  >>  Math  >>  Probability

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

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

1 Answer

Toolbox:
  • 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

Download clay6 mobile appDownload clay6 mobile app
...
X