Question
Passage: Let A, B, C and D be mutually exclusive and exhaustive events and P(A) 2 = P(B) 3 = P(C) 5 = P(D) 8 . Question: What is P(A)+P(B)+P(C) equal to ?
NDA
Mathematics
Probability
2026
NDA 2026 (Phase 1)
NDA Mathematics Question (2026) — Solution
Options
- A. 5 9
- B. 1 18
- C. 2 21
- D. 7 13
Answer
A. 5 9
Step-by-step solution
Let P(A) 2 = P(B) 3 = P(C) 5 = P(D) 8 = k P(A) = 2k, P(B) = 3k, P(C) = 5k, P(D) = 8k Since A, B, C and D are mutually exclusive and exhaustive events, P(A) + P(B) + P(C) + P(D) = 1 2k + 3k + 5k + 8k = 1 18k = 1 k = 1 18 P(A) + P(B) + P(C) = 2k + 3k + 5k = 10k 10k = 10 1 18 = 5 9 Answer: 5 9
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