Probability — NDA Previous Year Questions

104 solved PYQs · 2021–2025 · Mathematics

Solved PYQs: 104
Years covered: 2021–2025
Avg / year: ~21
Subject: Mathematics

How many NDA questions come from Probability?

Probability has contributed 104 questions to National Defence Academy Examination papers between 2021 and 2025 — an average of about 21 questions a year. That count is measured from EByAi’s bank of 15,695 NDA questions, not estimated from a syllabus. Every one of the 104 questions carries a written, step-by-step solution, and each is tagged to Probability within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Probability questions from real NDA papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 104 Probability questions (with full written solutions) are available in practice.

Question 1 · NDA 2025
What is the probability that the bonus scheme will be introduced?
1. (A) $17/45$
2. (B) $19/45$
3. (C) $23/45$
4. (D) $26/45$
Show answerAnswer
$Answer: (C) 23/45$
Question 2 · NDA 2025
What is the probability that the committee includes at least 2 ladies?
1. (A) $41/66$
2. (B) $47/66$
3. (C) $49/66$
4. (D) $53/66$
Show answerAnswer
$Answer: (D) 53/66$
Question 3 · NDA 2025
What is the probability that the committee includes exactly 3 gentlemen?
1. (A) $10/33$
2. (B) $30/77$
3. (C) $100/231$
4. (D) $5/11$
Show answerAnswer
$Answer: (A) 10/33$
Question 4 · NDA 2025
If P(A)=1/3, P(B)=1/2 and P(A∩B)=1/4, then what is the value of P(A|B^C)?
1. (A) $1/8$
2. (B) $3/8$
3. (C) $5/8$
4. (D) $7/8$
Show answerAnswer
$Answer: (B) 3/8$
Question 5 · NDA 2025
If P(A)=1/3, P(B)=1/2 and P(A∩B)=1/4, then what is the value of P(AC∩BC)?
1. (A) $1/4$
2. (B) $5/12$
3. (C) $7/12$
4. (D) $11/12$
Show answerAnswer
$Answer: (B) 5/12$

Probability questions by year

Year	Questions	Share of chapter questions
2025	27
2024	24
2023	21
2022	19
2021	13

Practise these 104 questions with solutions

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FAQs

How many NDA questions have been asked from Probability?

EByAi's bank holds 104 real NDA questions from Probability, asked between 2021 and 2025 — about 21 per year on average. Every count is measured from actual papers, not estimated.

Is Probability important for NDA?

104 questions over 5 papers make Probability a moderate-weightage chapter in NDA Mathematics. The year-wise table above shows exactly how often it appears.

Can I solve Probability PYQs online for free?

Yes. EByAi lets you solve NDA past-year questions in the browser with written solutions — free daily practice, no card needed.

More NDA Mathematics chapters

All NDA Mathematics chapters →NDA overview →