Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:
If A and B are two events such that P(A) = 3/4 and P(B) = 5/8, then which of the following is correct?
Options:
P(A∪B) ≥ 3/4
3/8 ≤ P(A∩B) ≤ 5/8
P(A’∩B) ≤ 1/4
All of the above
Correct Answer:
All of the above
Explanation:
" A ⊆ A∪B => P(AUB) ≥ P(A), P(A∩B) = P(A)+P(B)-P(AUB) => P(A∩B) ≥ P(A)+P(B)-1 and A∩B ⊆ B => P(A∩B) ≤ P(B) iv) P(A∩B) = P(B) – P(A’∩B) "