logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  CBSE XII  >>  Math  >>  Probability
0 votes

If A and B are two events such that \(A ⊂ B\) and \(P(B) ≠ 0\), then which of the following is correct?

\[ \begin{array} ((A) P(A|B)= \frac{P(B)}{P(A)} \quad & (B) P(A|B) < P(A) \\ (C) P(A|B) ≥ P(A) \quad & (D) None\: of\: these \end{array} \]

Can you answer this question?
 
 

1 Answer

0 votes
If A $\subset$ B, then A $\cap$ B = A.
P(A|B) = $\large\frac{P (A \cap B)}{P(B)} = \frac{P(A)}{P(B)}$
Since P(B) $\neq$ 0, which means it is $\leq$ 1.
Therefore, P (A|B) must be $\geq$ P(A).
answered Mar 8, 2013 by poojasapani_1
edited Jun 19, 2013 by balaji.thirumalai
 

Related questions

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