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Suneung-style Maths Probability & Combinatorics Questions
Practise probability & combinatorics (mathematics) for the Korean CSAT (Suneung)-style Mathematics practice: 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Probability & Combinatorics practice
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Q1.Two fair dice are thrown. What is the probability that the sum is 9?
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Answer: B — 1/9
4 of the 36 equally likely outcomes give a sum of 9, so P = 4/36 = 1/9.
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Q2.In how many ways can the letters of the word ORANGE be arranged?
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Answer: D — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q3.A card is drawn from a well-shuffled deck of 52. What is the probability that it is a red card?
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Answer: D — 1/2
There are 26 such cards in 52, so P = 26/52 = 1/2.
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Q4.2 fair coins are tossed. What is the probability of at least one head?
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Answer: C — 3/4
P(no head) = (1/2)^2 = 1/4; P(at least one head) = 1 − 1/4 = 3/4.
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Q5.In how many ways can a committee of 4 be chosen from 7 people?
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Answer: D — 35
Order does not matter → combinations: 7C4 = 7! / (4!·3!) = 35.
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Q6.In how many ways can a committee of 3 be chosen from 6 people?
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Answer: B — 20
Order does not matter → combinations: 6C3 = 6! / (3!·3!) = 20.
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Q7.4 fair coins are tossed. What is the probability of at least one head?
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Answer: C — 15/16
P(no head) = (1/2)^4 = 1/16; P(at least one head) = 1 − 1/16 = 15/16.
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Q8.A card is drawn from a well-shuffled deck of 52. What is the probability that it is a face card (J, Q, K)?
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Answer: C — 3/13
There are 12 such cards in 52, so P = 12/52 = 3/13.
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Q9.In how many ways can a committee of 3 be chosen from 12 people?
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Answer: C — 220
Order does not matter → combinations: 12C3 = 12! / (3!·9!) = 220.
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Q10.In how many ways can the letters of the word MOTHER be arranged?
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Answer: D — 720
All 6 letters are different, so arrangements = 6! = 720.
How to approach probability & combinatorics questions
Probability = favourable ÷ total outcomes. List small sample spaces (two dice = 36 outcomes). Use nPr when order matters and nCr when it does not; divide by repeats for repeated letters.
About Suneung-style Maths
Korean CSAT (Suneung)-style Mathematics practice — conducted by Practice in the style of the KICE College Scholastic Ability Test; not affiliated. Practice in the style of South Korea’s university entrance maths: sequences, functions and probability.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
Suneung-style Maths practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |