# Statistics Mcqs with Solved Answers & 2026 Past Papers (Page 26) | TestPrep > Practice verified Statistics Mcqs with answers, detailed explanations, and 2026 past papers syllabus for FPSC, PPSC, NTS, CSS, and PMS exams in Pakistan. --- Official 2026 Examination Syllabus Verified Answers # Statistics Mcqs Solved MCQs Showing 501 – 520 of **739** verified multiple choice questions with explanations and past paper analysis. - [Take Statistics Mcqs Quiz](https://test-prep.blog/quiz/smart?category=statistics-mcqs) Q501 NTS / FPSC / PPSC - [### The special rule of multiplication of probability, the events must be _____ ?](https://test-prep.blog/mcq/the-special-rule-of-multiplication-of-probability-the-events-must-be-fc16df87-c594-4452-9e65-b844edb1c909) A. Independent B. Mutually exclusive C. Bayesian D. Empirical Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/the-special-rule-of-multiplication-of-probability-the-events-must-be-fc16df87-c594-4452-9e65-b844edb1c909) Q502 NTS / FPSC / PPSC - [### if you roll a pair of dice, what is the probability that (at least) one of the dice is a 4 or the sum of the dice is 7 ?](https://test-prep.blog/mcq/if-you-roll-a-pair-of-dice-what-is-the-probability-that-at-least-one-of-the-dice-79ce030e-b83b-49bd-bf4c-82ae39f49210) A. 4/36 B. 13/36 C. 21/36 D. 15/36 Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/if-you-roll-a-pair-of-dice-what-is-the-probability-that-at-least-one-of-the-dice-79ce030e-b83b-49bd-bf4c-82ae39f49210) Q503 NTS / FPSC / PPSC - [### . If the occurrence of one event means that another cannot happen, then the events are _____ ?](https://test-prep.blog/mcq/if-the-occurrence-of-one-event-means-that-another-cannot-happen-then-the-events--88f05ff7-b732-43ab-852c-fc6d0a6e3f76) A. Independent B. Mutually Exclusive C. Bayesian D. Empirical Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/if-the-occurrence-of-one-event-means-that-another-cannot-happen-then-the-events--88f05ff7-b732-43ab-852c-fc6d0a6e3f76) Q504 NTS / FPSC / PPSC - [### 5C5 is equal to _____ ?](https://test-prep.blog/mcq/5c5-is-equal-to-d6307185-6e33-43cc-8189-236250e2ecd9) A. 5 B. 5×5 C. 1 D. None of these Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/5c5-is-equal-to-d6307185-6e33-43cc-8189-236250e2ecd9) Q505 NTS / FPSC / PPSC - [### The product of first ‘n’ natural numbers is _____ ?](https://test-prep.blog/mcq/the-product-of-first-n-natural-numbers-is-e90d7928-e8ac-4e0d-a19c-edc05b006014) A. 1.2.3.4,……… B. 1.2.3……(n-2) (n-1) (n) C. n. (n-1) (n-2)…………..3.2.1.0 D. None of these Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/the-product-of-first-n-natural-numbers-is-e90d7928-e8ac-4e0d-a19c-edc05b006014) Q506 NTS / FPSC / PPSC - [### If in a coin P(H) = 2P(T) then prob. of head is _____ ?](https://test-prep.blog/mcq/if-in-a-coin-ph-2pt-then-prob-of-head-is-990eacf9-2d74-4558-9b33-6c5e28df0d9b) A. 1/3 B. 2/3 C. 1/2 D. 0 Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/if-in-a-coin-ph-2pt-then-prob-of-head-is-990eacf9-2d74-4558-9b33-6c5e28df0d9b) Q507 NTS / FPSC / PPSC - [### If P(A/B)=1/4 and P(A∩B) =1/5 then P(B) is _____ ?](https://test-prep.blog/mcq/if-pab14-and-pab-15-then-pb-is-8389c483-678c-4efc-a9bf-da4d6836d6e4) A. 4/5 B. 1/20 C. 0 D. 1/9 Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/if-pab14-and-pab-15-then-pb-is-8389c483-678c-4efc-a9bf-da4d6836d6e4) Q508 NTS / FPSC / PPSC - [### The probability of getting at least one head when two balance coins are tossed once _____ ?](https://test-prep.blog/mcq/the-probability-of-getting-at-least-one-head-when-two-balance-coins-are-tossed-o-a676db10-e24d-48a3-95de-983340674591) A. 1/4 B. 2/4 C. 3/4 D. 4/4 Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/the-probability-of-getting-at-least-one-head-when-two-balance-coins-are-tossed-o-a676db10-e24d-48a3-95de-983340674591) Q509 NTS / FPSC / PPSC - [### The probability of getting exactly three tails when three balanced coins are tossed once _____ ?](https://test-prep.blog/mcq/the-probability-of-getting-exactly-three-tails-when-three-balanced-coins-are-tos-ec4a8e0b-8526-45db-b985-76ee929fb8ed) A. 1/8 B. 2/8 C. 5/8 D. 7/8 Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/the-probability-of-getting-exactly-three-tails-when-three-balanced-coins-are-tos-ec4a8e0b-8526-45db-b985-76ee929fb8ed) Q510 NTS / FPSC / PPSC - [### The probability that the sum is odd if two dice are thrown: _____ ?](https://test-prep.blog/mcq/the-probability-that-the-sum-is-odd-if-two-dice-are-thrown-0ad998f6-7598-47a8-b9ba-ce1ccc8038ef) A. 18/36 B. 9/36 C. 6/36 D. 12/36 Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/the-probability-that-the-sum-is-odd-if-two-dice-are-thrown-0ad998f6-7598-47a8-b9ba-ce1ccc8038ef) Q511 NTS / FPSC / PPSC - [### A fair coin toss the total events in sample space equal _____ ?](https://test-prep.blog/mcq/a-fair-coin-toss-the-total-events-in-sample-space-equal-79692f13-4fa2-430e-b29a-01de336fbd04) A. 7 B. 16 C. 36 D. 6 Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/a-fair-coin-toss-the-total-events-in-sample-space-equal-79692f13-4fa2-430e-b29a-01de336fbd04) Q512 NTS / FPSC / PPSC - [### A box containing 12 balls of color 6 red and 6 white. A ball of white selected ball finds the probability of white _____ ?](https://test-prep.blog/mcq/a-box-containing-12-balls-of-color-6-red-and-6-white-a-ball-of-white-selected-ba-09842bca-1ef3-41b1-986e-243031d0242f) A. 7/12 B. 6/12 C. 12/12 D. 4/12 Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/a-box-containing-12-balls-of-color-6-red-and-6-white-a-ball-of-white-selected-ba-09842bca-1ef3-41b1-986e-243031d0242f) Q513 NTS / FPSC / PPSC - [### The probability of drawing an even number in a toss of a balanced die _____ ?](https://test-prep.blog/mcq/the-probability-of-drawing-an-even-number-in-a-toss-of-a-balanced-die-6db45615-1b61-4676-b51e-1ebad5a1cb61) A. 1/6 B. 2/6 C. 3/6 D. 6/6 Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/the-probability-of-drawing-an-even-number-in-a-toss-of-a-balanced-die-6db45615-1b61-4676-b51e-1ebad5a1cb61) Q514 NTS / FPSC / PPSC - [### The probability of drawing a picture card out of 52 cards is : _____ ?](https://test-prep.blog/mcq/the-probability-of-drawing-a-picture-card-out-of-52-cards-is-b9193bae-c3aa-4233-8bfd-11ccf5a459cd) A. 13/52 B. 12/52 C. 16/52 D. 3/52 Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/the-probability-of-drawing-a-picture-card-out-of-52-cards-is-b9193bae-c3aa-4233-8bfd-11ccf5a459cd) Q515 NTS / FPSC / PPSC - [### The probability of an event cannot be _____ ?](https://test-prep.blog/mcq/the-probability-of-an-event-cannot-be-1abf59c6-23f8-439c-9c84-d11f2790267c) A. Positive B. Zero C. None of these D. Negative Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/the-probability-of-an-event-cannot-be-1abf59c6-23f8-439c-9c84-d11f2790267c) Q516 NTS / FPSC / PPSC - [### If an event consists of only one sample point is called _____ ?](https://test-prep.blog/mcq/if-an-event-consists-of-only-one-sample-point-is-called-b53da34d-7eac-46ec-9ff2-eeaf54278220) A. Appeared B. Exactly C. Space D. Elementary event Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/if-an-event-consists-of-only-one-sample-point-is-called-b53da34d-7eac-46ec-9ff2-eeaf54278220) Q517 NTS / FPSC / PPSC - [### The picture cards having in total fifty two cards is equal _____ ?](https://test-prep.blog/mcq/the-picture-cards-having-in-total-fifty-two-cards-is-equal-0a66897d-82b8-447c-ac79-d70a1b5fba85) A. 16 B. 24 C. 12 D. Non of these Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/the-picture-cards-having-in-total-fifty-two-cards-is-equal-0a66897d-82b8-447c-ac79-d70a1b5fba85) Q518 NTS / FPSC / PPSC - [### _____ are said to be exhaustive if they constitute the entire sample space?](https://test-prep.blog/mcq/are-said-to-be-exhaustive-if-they-constitute-the-entire-sample-space-3a1d8e82-994e-49b3-933d-a213ebe54e9a) A. Equally B. Events C. Outcomes D. Objects Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/are-said-to-be-exhaustive-if-they-constitute-the-entire-sample-space-3a1d8e82-994e-49b3-933d-a213ebe54e9a) Q519 NTS / FPSC / PPSC - [### Events occurring together without affecting each other are called: _____ ?](https://test-prep.blog/mcq/events-occurring-together-without-affecting-each-other-are-called-71678a71-7a67-474f-8e34-fd3410591839) A. Dependent events B. Independent events C. Equally likely events D. Mutually Exclusive events Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/events-occurring-together-without-affecting-each-other-are-called-71678a71-7a67-474f-8e34-fd3410591839) Q520 NTS / FPSC / PPSC - [### The possibility of total outcome in a coin equal to _____ ?](https://test-prep.blog/mcq/the-possibility-of-total-outcome-in-a-coin-equal-to-8ba502a2-27e5-40af-a502-10f049072def) A. Fifty % B. Twenty % C. 60% D. 30% Reveal Answer - [View Full Details & Discussion →](https://test-prep.blog/mcq/the-possibility-of-total-outcome-in-a-coin-equal-to-8ba502a2-27e5-40af-a502-10f049072def) - [Previous Page](https://test-prep.blog/categories/statistics-mcqs?page=25)Page 26 of 37 - [Next Page](https://test-prep.blog/categories/statistics-mcqs?page=27) Editorial Analysis & Exam Strategy ## Statistics Mcqs Preparation Guide for Competitive Exams The Statistics Mcqs section constitutes one of the highest-weightage modules across major competitive recruiting tests conducted by FPSC, PPSC, SPSC, KPPSC, BPSC, NTS, and the CSS Screening (MPT). Candidates who systematically practice verified solved past questions attain a statistically verified 42% higher score on negative-marking objective papers. #### FPSC (Federal Public Service Commission) 20% - 50% of General Ability Paper Questions emphasize analytical depth, conceptual definitions, and contemporary developments. #### PPSC (Punjab Public Service Commission) 15% - 25% of 100-mark One-Paper MCQs Strong focus on direct factual accuracy, past paper repetitions, and textbook fundamentals. #### NTS (National Testing Service) 25% - 35% of GAT & NAT Tests Strict timing constraints (approx. 50 seconds per MCQ). Rapid recall is critical. #### CSS & PMS Compulsory 20 MCQs (20 Marks) in each Compulsory Subject Qualifying threshold determinant. Correct answers in objective sections secure merit ranking. ### Proven Study Methodology Topic-Wise Mastery: Begin by solving questions in batches of 20 with immediate answer verification. Negative Marking Shield: In competitive exams, guessing indiscriminately carries a 0.25 mark penalty. Practice identifying questions where you can eliminate 2 incorrect distractors before attempting. Smart Spaced Repetition: Use our Bookmark and Mistake Revision engines to re-test incorrectly answered questions within 48 hours to lock them into long-term memory. Timed Speed Runs: Attempt the Daily Study Challenge under timed conditions to build test-day cognitive endurance. ### Frequently Asked Questions about Statistics Mcqs #### How many questions are included in the Statistics Mcqs repository? Our repository contains verified multiple choice questions for Statistics Mcqs, regularly curated and cross-referenced with official past papers from 2018 to 2026. #### Are these Statistics Mcqs MCQs relevant for 2026 exams? Yes, all questions have been reviewed and updated to conform to the latest 2026 syllabus announcements issued by FPSC, PPSC, NTS, and provincial testing boards. #### Does Statistics Mcqs practice include answer explanations? Yes, each question features verified correct answers with explanatory context, historical references, and verified citations. #### Can I practice Statistics Mcqs questions in interactive quiz mode? Yes, click 'Take Statistics Mcqs Quiz' to launch our Smart Adaptive practice engine, customize question counts, and track your accuracy score in real-time. --- *Source: https://test-prep.blog/categories/statistics-mcqs?page=26* *Format: Markdown for Agents (Content Negotiation: text/markdown)*