MCQ Chapter 15 Probability Class 9 Mathematics

Please refer to Probability MCQ Questions Class 9 Mathematics below. These MCQ questions for Class 9 Mathematics with answers have been designed as per the latest NCERT, CBSE books, and syllabus issued for the current academic year. These objective questions for Probability will help you to prepare for the exams and get more marks.

Probability MCQ Questions Class 9 Mathematics

Please see solved MCQ Questions for Probability in Class 9 Mathematics. All questions and answers have been prepared by expert faculty of standard 9 based on the latest examination guidelines.

MCQ Questions Class 9 Mathematics Probability

Question. If P(E₁) = 1/6 , P(E₂) = 1/3 , P(E₃) = 1/4 , where E₁, E₂, E₃ and E₄ are elementary events of a random experiment, then P(E₄ ) is equal to
(a) 1/2
(b) 2/3
(c) 1/3
(d) 1/4

Question. A coin is tossed 600 times, if the probability of getting a head is 3/8, how many times tail is obtained?
(a) 525
(b) 375
(c) 625
(d) 725

Question. A die is tossed 216 times. The results are as follows :

The probability of getting 2 is
(a) 25/216
(b) 35/216
(c) 36/216
(d) 40/216

Question. Two sections of class IX having 27 students in each section appeared for Mathematics olympiad. The marks obtained by them are shown below.
46, 31, 74, 68, 42, 54, 14, 61, 48, 37, 26, 8, 64, 57, 93, 72, 53, 59, 38, 16, 88, 56, 46, 66, 45, 61, 54, 27, 27, 44, 63, 58, 43, 81, 64, 36, 49, 50, 76, 38, 47, 77, 62, 53, 40, 71, 60, 45, 42, 34, 46, 40, 59, 42 One student is selected at random. Find the probability that selected student is having marks more than 49.
(a) 1/3
(b) 1/2
(c) 1/4
(d) 7/9

Question. While working out a question on probability it was found that there were 197 letters of English alphabet. The following was observation of occurrence of each letter : a = 40, b = 8, e = 14, r = 25, i = 20; others (not including vowels) = 90. The probability of choosing a vowel is
(a) 70/197
(b) 36/197
(c) 100/197
(d) 74/197

Question. The following table shows the birthday of 40 students of class IX :

Find the probability that a student was born on Saturday.
(a) 2/15
(b) 1/8
(c) 1/3
(d) 1/2

Question. A surveyor was asked to survey 131 families in a locality in which newspaper is read by the families. He submitted the data as :

Find the ratio of the probability of the families who read ‘The Times of India’ to the families who read ‘The Navbharat Times’.
(a) 20 : 37
(b) 1 : 1
(c) 37 : 20
(d) 1 : 20

Question. The following table shows the blood group of 60 students of a class. 

One student of the class is chosen at random. What is the probability that the chosen student has blood group O– ?
(a) 23/60
(b) 3/20
(c) 4/15
(d) 1/5

Question. In an experiment, E and F are the only two possible outcomes. If P(E) = 0.62, then P(F) is equal to
(a) 0.38
(b) 0.28
(c) 0.72
(d) 0.62

Question. In 75 throws of a die, the outcomes were noted as follows : 
The die is thrown at random. What is the probability of not getting a prime number?

(a) 3/75
(b) 3/5
(c) 13/25
(d) 12/25

Question. In a medical examination of students of a class, the following blood groups are recorded :

A student is selected at random from the class. The probability that he/she has blood group B, is
(a) 1/4
(b) 13/40
(c) 3/10
(d) 1/8

Question. The following distribution gives the time taken by 30 students to solve a problem.

Find the probability that the time taken by a student to solve the problem lies in the interval 30-35 or 35-40.
(a) 1/2
(b) 13/30
(c) 1/4
(d) 1/5

Question. On a particular day, 187 two wheelers, 178 three wheelers and 135 four wheelers passed through a crossing. What is the probability that next vehicle will pass through crossing is not a three wheeler?
(a) 161/250
(b) 89/250
(c) 187/500
(d) 27/100

Question. In a survey, out of 450 women, 168 were found to be working. If a woman is selected at random, the probability that she is not working is
(a) 66/225
(b) 47/75
(c) 134/225
(d) 41/75

Question. The given table shows the number of students participating in various activities in a school. 

One student is chosen at random. Find the probability that the student participates in games.
(a) 3/10
(b) 1/2
(c) 1/7
(d) 1/10

Question. On one page of a directory, there are 200 telephone numbers. The frequency distribution of the unit place digit is given as under :

From this page, one of the numbers is chosen at random. What is the probability that the unit place digit in the chosen number is 3 or 7?
(a) 2/5
(b) 3/100
(c) 9/50
(d) 29/200

Question. The following table gives the distribution of IQ (intelligence quotient) of 60 pupils of class IX in a school.

Find the probability that a student of class IX selected at random has IQ in the interval 90-100.
(a) 1/60
(b) 1/8 
(c) 1/5
(d) 4/15

Question. If P is the probability of happening of an event E, then
(a) P ≤ 0
(b) 0 < P ≤ 1
(c) 0 ≤ P ≤ 1
(d) –1 ≤ P ≤ 1

Question. A Mathematics book contains 350 pages. A page is selected at random. What is the probability that the number on the page is divisible by 14?
(a) 1/8
(b) 1/10
(c) 1/14
(d) 2/5

Question. 100 plants each were sown in six different colonies A, B, C, D, E and F. After 31 days, the  number of plants survived are as follows:

Find the probability that more than 80 plants survived in a colony?
(a) 2/3
(b) 1/3
(c) 5/6
(d) 1/6

Assertion & Reasoning Based MCQs

(a) Assertion and Reason both are correct statements and Reason is the correct explanation of Assertion.
(b) Assertion and Reason both are correct statements but Reason is not the correct explanation of Assertion.
(c) Assertion is correct statement but Reason is wrong statement.
(d) Assertion is wrong statement but Reason is correct statement.

Question. Assertion : In a survey of 365 students aged 13-14 years, it was found that 130 liked to opt French as third language. If a student selected at random, then the probability that he/ she does not like to opt French as third language is 47/73.
Reason : The probability of an event
E = Number of trials in which is not happened /Total number of trials

Question. Assertion : A die is thrown, if probability of getting an even number is 1/2 , then the probability of getting an odd number is also 1/2 .
Reason : P(E₁) + P(E₂) + P(E₃) + … + P(En) = 1, where E₁, E₂, E₃, …, En are n elementary events
associated to a random experiment.

Question. Assertion : In a class of 45 students, 39 passed an examination. If a student is selected at random, then the probability that the student has not passed the examination is 13/15 . Reason : P(E) + P(not E) = 1

Question. Assertion : A coin is tossed 30 times and head appears 18 times. Then the probability of getting a tail is 12/30 .
Reason : Probability of happening of an event
= Number of trials in which the event happened / Total number of trials

Question. Assertion : Three coins are tossed. Number of elements in the sample space is 8.
Reason : When a coin is tossed n times, then the number of elements in its sample space is 2n.

Case Based MCQs

Read the following passage and answer the questions.
In a factory, the workers are paid on daily basis. The new manager wants to know the salary slab of the workers and finds the data as given below.

Now, if a worker is chosen at random, then :

Question. Probability that the worker is getting less than Rs 300 is
(a) 0
(b) 1
(c) 1/2
(d) 2/3

Question. Probability that the worker is getting atleast Rs 701 is
(a) 23/80
(b) 43/80
(c) 41/80
(d) 61/80

Question. Probability that the worker is getting Rs 901 – Rs 1100 is
(a) 3/40
(b) 1/40
(c) 9/40
(d) 2/23

Question. Probability that the worker is getting atmost Rs 500 is
(a) 3/80
(b) 9/80 
(c) 1/80 
(d) 4/25

Question. Probability that the worker is getting atmost Rs 900 is
(a) 7/40
(b) 3/31
(c) 31/40
(d) 4/31