Question
If P(A) = 1/3, P(B) = 1/2 and P(A B) = 1/4, then what is the value of P( A B)?
NDA
Mathematics
Probability
2025
NDA 2025 (Phase 2)
NDA Mathematics Question (2025) — Solution
Options
- A. 7/12
- B. 2/3
- C. 3/4
- D. 11/12
Answer
D. 11/12
Step-by-step solution
Using De Morgan's laws, P( A B) = 1 - P(A B ) P(A B ) = P(A) - P(A B) Substituting the given values: P(A B ) = 1 3 - 1 4 = 1 12 Therefore, P( A B) = 1 - 1 12 = 11 12 Answer: 11/12
Related: Mathematics — Probability · All PYQ Banks