Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

If A and B are arbitrary events, then

Options:

$P(A ∩ B) ≥ P(A) + P(B)$

$P(A ∪ B) ≤ P(A) + P(B)$

$P(A ∩ B) = P(A) + P(B)$

none of these

Correct Answer:

$P(A ∪ B) ≤ P(A) + P(B)$

Explanation:

We have,

$P(A ∪ B) =P(A) +P(B) - P(A ∩ B)$

$ ⇒ P(A ∪ B) ≤ P(A) +P(B)$