Let A and B be two non-null events such that A - B- Then- which of the following statements is always correct- A- P A - B -1B- P A - B - P A - P A - B - P A D- P A - B - P B - P A

IF A and B are any two events such that P(A) + P(B) - P (A and B ) = P(A), then
(a) $P (\frac{B}{A}) = 1$
(b) $P (\frac{A}{B}) = 1$
(c) $P (\frac{B}{A}) = 0$
(d) $P (\frac{A}{B}) = 0$

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

D. None of these

Q. Let A and B be two events for which P(A) = a, P(B) = b,

P (A \cap B) = c, then P (A \cap B)

= __________________.

Join BYJU'S Learning Program

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

The correct option is C P(A|B)≥P(A)Given, A⊂B⇒A∩B=A ⇒P(A/B)=P(A∩B)P(B)=P(A)P(B) ⇒P(A/B)=P(A)P(B)≥P(A) (∵0≤P(B)≤1)

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

The correct option is C $P (A | B) \geq P (A)$
Given,
$A \subset B \Rightarrow A \cap B = A$
$\Rightarrow P (A / B) = \frac{P (A \cap B)}{P (B)} = \frac{P (A)}{P (B)}$
$\Rightarrow P (A / B) = \frac{P (A)}{P (B)} \geq P (A)$
$(∵ 0 \leq P (B) \leq 1)$