MCQs on Chapter 7 ‘The Mathematics of Maybe: Introduction to Probability’ for Class 9 Maths

MCQs on Chapter 7: The Mathematics of Maybe: Introduction to Probability for Class 9 Maths are available in this Maths article along with a free PDF for offline practice. These multiple‑choice questions help students practise the key concepts from Chapter 7 of the CBSE Maths syllabus in an exam‑oriented format. The MCQs with answers and detailed solutions, prepared by our subject experts, cover the concept of probability, random experiments, outcomes, sample space, events, theoretical probability, impossible and sure events, elementary events, and the range of probability values from 0 to 1 to strengthen conceptual understanding and improve problem‑solving skills. By practising MCQs on Chapter 7: The Mathematics of Maybe: Introduction to Probability, students can improve accuracy, understand formulas better, and build confidence for board exams.

MCQS on Chapter 7: The Mathematics of Maybe: Introduction to Probability for Class 9 With Answers

Question 1: The sum of the probabilities of all possible outcomes of a trial is:

(a) 4

(b) 1

(c) 3

(d) 2

Answer: (b) 1

Explanation: The total of all probabilities always equals 1. When you toss a coin, you'll get either a head or a tail, so P(H) + P(T) = 1. 

Question 2: Which of the following CANNOT be the probability of an event?

(a) 1

(b) 0

(c) 0.75

(d) 1.3

Answer: (d)  1.3

Explanation: Since probability must always lie between 0 and 1, any value greater than 1 is invalid. 1.3 > 1, so it cannot be a probability. 

Question 3: If P(E) = 0.44, then P(not E) is:

(a) 0.44

(b) 0.55

(c) 0.50

(d) 0.56

Answer: (d) 0.56

Explanation: Using the complementary rule: P(E) + P(not E) = 1

∴ P(not E) = 1 − P(E) = 1 − 0.44 = 0.56

Question 4: The probability of an impossible event is:

(a) 1

(b) 0

(c) More than 1

(d) Less than 0

Answer: (b) 0

Explanation: An impossible event is one that can never happen. Since it never occurs, the number of favourable outcomes is 0, making P(E) = 0/n = 0.

Question 5: A coin is tossed 1000 times. Heads appear 455 times and tails 545 times. What is the empirical probability of getting a head?

(a) 0.455

(b) 0.5

(c) 0.545

(d) 455

Answer: (a) 0.455

Explanation: P(Head) = Number of heads / Total trials = 455 / 1000 = 0.455 

Question 6: A die is thrown. What is the probability of getting an odd number less than 4?

(a) 1/6

(b) 1/2

(c) 1/3

(d) 0

Answer: (c)  1/3

Explanation: Sample space = {1, 2, 3, 4, 5, 6}

Odd numbers less than 4 = {1, 3} i.e., 2 favourable outcomes

P(E) = 2/6 = 1/3 

Question 7: Two coins are tossed 1000 times. 0 heads appeared 250 times, 1 head appeared 500 times, and 2 heads appeared 250 times. What is the probability of getting at most one head?

(a) 1/5

(b) 1/4

(c) 3/4

(d) 4/5

Answer: (c) 3/4

Explanation: ‘At most one head’ means 0 heads or 1 head.

Favourable outcomes = 250 + 500 = 750

P(at most 1 head) = 750/1000 = 3/4

Question 8: A die is thrown once. What is the probability of getting a prime number?

(a) 1/6

(b) 1/3

(c) 1/2

(d) 2/3

Answer: (c) 1/2

Explanation: Prime numbers on a die = {2, 3, 5} ⇒ 3 outcomes

P(prime) = 3/6 = 1/2

Question 9: What is the probability of drawing a queen from a deck of 52 cards?

(a) 1/26

(b) 1/52

(c) 1/13

(d) 3/52

Answer: (c) 1/13

There are 4 queens in a deck of 52 cards.

Explanation: P(Queen) = 4/52 = 1/13 

Question 10: The probability of drawing the 10 of a black suit from a deck of 52 cards is:

(a) 1/52

(b) 1/26

(c) 1/13

(d) 2/13

Answer: (b) 1/26

Explanation: Black suits = Clubs and Spades. Each has a 10 card. So there are 2 black 10s in a deck of 52 cards.

P(10 of black suit) = 2/52 = 1/26

Question 11: There are 5 red balls and 3 black balls in a bag. What is the probability of drawing a black ball?

(a) 5/8

(b) 1/2

(c) 3/8

(d) 1/8

Answer: (c) 3/8

Explanation: Total balls = 5 + 3 = 8

P(Black) = 3/8

Question 12: In a survey of 364 children aged 19–36 months, 91 liked to eat potato chips. If a child is selected at random, what is the probability that the child does NOT like potato chips?

(a) 0.25

(b) 0.50

(c) 0.75

(d) 0.80

Answer: (c) 0.75

Explanation: Children who do NOT like potato chips = 364 − 91 = 273

P(does not like chips) = 273/364 = 0.75

Question 13: There are 5 prizes on 1000 lottery tickets. What is the probability of winning a prize?

(a) 1/500

(b) 1/200

(c) 1/100

(d) 1/50

Answer: (b)  1/200

Explanation: P(winning) = 5/1000 = 1/200 

Question 14: A number is selected at random from the numbers 1, 2, 3, … 15. What is the probability that the selected number is a multiple of 4?

(a) 1/5

(b) 1/3

(c) 4/15

(d) 2/15

Answer: (a)  1/5

Explanation: Multiples of 4 between 1 and 15: {4, 8, 12} ⇒ 3 numbers

P(multiple of 4) = 3/15 = 1/5

Question 15: What is the probability of a leap year having 53 Sundays?

(a) 1/7

(b) 1/4

(c) 2/7

(d) 3/7

Answer: (c) 2/7

Explanation: A leap year has 366 days = 52 complete weeks + 2 extra days.

These 2 extra days can be any pair from: {Mon-Tue, Tue-Wed, Wed-Thu, Thu-Fri, Fri-Sat, Sat-Sun, Sun-Mon} ⇒ 7 possibilities.

Pairs containing Sunday = {Sat-Sun, Sun-Mon} ⇒ 2 out of 7

⇒ P(53 Sundays in a leap year) = 2/7

Click here to download the free PDF of MCQs worksheet on Chapter 7: The Mathematics of Maybe: Introduction to Probability for Class 9 Maths based on the updated NCERT & CBSE pattern with important multiple-choice questions and answers.

MCQs Worksheet on Chapter 7: The Mathematics of Maybe: Introduction to Probability for Class 9