Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

If A and B are mutually exclusive events, then 

Options:

$P(A) ≤ P(\overline{B})$

$P(A) > P(\overline{B})$

$P(A) < P(B)$

none of these

Correct Answer:

$P(A) ≤ P(\overline{B})$

Explanation:

Since A and B are mutually exclusive events.

$∴ A ∩ B= \phi $

$⇒ A \subseteq \overline{B}$ and $B  \subseteq \overline{A}$

$P(A) ≤ P(\overline{B})$ and $P(B) ≤ P(\overline{A})$