Mathematics carries the highest weight in AISSEE — 150 of 300 marks in Class 6 and 200 of 400 marks in Class 9 — and it is also a key section of the RMS CET. Practise these 10 MCQs on Probability, then check your answers and step-by-step solutions in the answer key at the end.
Quick facts: AISSEE 2027 will be held on Sunday, 31 January 2027. There is no negative marking, so attempt every question. Online applications are open until 2 December 2026 on exams.nta.nic.in/sainik-school-society.
Practice Questions
Q1. A die is thrown once. What is the probability of getting an even number?
(A) 2/3
(B) 1/3
(C) 1/2
(D) 5/6
Q2. What is the probability of a sure (certain) event?
(A) 0
(B) 1/2
(C) 100
(D) 1
Q3. A bag has 4 red, 6 blue and 1 green ball. One ball is picked at random. What is the probability that it is blue?
(A) 4/11
(B) 6/11
(C) 1/3
(D) 6/5
Q4. A card is drawn from a deck of 52 cards. What is the probability that it is red?
(A) 1/2
(B) 1/4
(C) 1/13
(D) 26/13
Q5. A die is thrown once. What is the probability of getting a prime number?
(A) 2/3
(B) 1/2
(C) 1/3
(D) 5/6
Q6. A coin is tossed once. What is the probability of getting a head?
(A) 1/2
(B) 1
(C) 0
(D) 1/4
Q7. A bag has 5 red, 7 blue and 2 green balls. One ball is picked at random. What is the probability that it is blue?
(A) 5/14
(B) 1/3
(C) 1
(D) 1/2
Q8. A card is drawn from a deck of 52 cards. What is the probability that it is a heart?
(A) 1/13
(B) 1/2
(C) 4/13
(D) 1/4
Q9. A bag has 2 red, 4 blue and 1 green ball. One ball is picked at random. What is the probability that it is blue?
(A) 4/7
(B) 2/7
(C) 1/3
(D) 4/3
Q10. A card is drawn from a well-shuffled deck of 52 cards. What is the probability that it is a king?
(A) 1/52
(B) 4/13
(C) 1/13
(D) 1/4
Answer Key with Explanations
(C) 1/2 — Even numbers are 2, 4, 6: 3 out of 6 = 1/2.
(D) 1 — A certain event always happens, so its probability is 1.
(B) 6/11 — P(blue) = 6 blue balls out of 11 = 6/11.
(A) 1/2 — 26 of the 52 cards are red: 26/52 = 1/2.
(B) 1/2 — Primes on a die are 2, 3, 5: 3 out of 6 = 1/2.
(A) 1/2 — There are 2 equally likely outcomes; 1 is a head.
(D) 1/2 — P(blue) = 7/14 = 1/2.
(D) 1/4 — There are 13 hearts: 13/52 = 1/4.
(A) 4/7 — P(blue) = 4 blue balls out of 7 = 4/7.
(C) 1/13 — There are 4 kings: 4/52 = 1/13.
How did you score?
9–10 correct: excellent — move on to a full-length mock test. 6–8: good — revise the explanations of the questions you missed. Below 6: study this topic again from your NCERT book and retry these questions after two days.
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