Let A and B   be two non-null events such that A ⊂ B . Then, which of the following statements is always correct?

Question

Let A and B &#160; be two non-null events such that A &#8834; B . Then, which of the following statements is always correct?

Aicharya · Accepted Answer

Lets draw the venn diagram according to question,

$P (\frac{A}{B}) = \frac{P (A \cap B)}{P (B)} = \frac{P (A)}{P (B)} [A \subset B \Rightarrow A \cap B = A]$

Now, since $P (B) \leq 1$

$\Rightarrow P (\frac{A}{B}) = \frac{P (A)}{P (B)} \geq P (A)$

$\Rightarrow P (A | B) \geq P (A)$

Let A and B   be two non-null events such that A ⊂ B . Then, which of the following statements is…