CMAT PYQs for Probability with Solutions: Practice CMAT Previous Year Questions

Senior Content Strategist | MBA Professional | Updated on - Jan 19, 2026

Probability is an important topic in the Quantitative Ability and Data Interpretation section in CMAT exam. Practising this topic will increase your score overall and make your conceptual grip on CMAT exam stronger.

This article gives you a full set of CMAT PYQs for Probability with explanations for effective preparation. Practice of CMAT Quantitative Ability and Data Interpretation PYQs including Probability questions regularly will improve accuracy, speed, and confidence in the CMAT 2026 exam.

CMAT PYQs for Probability with Solutions

1.
Given below are two statements :
A number of distinct 8-letter words are possible using the letters of the word SYLLABUS. If a word in chosen at random, then
Statement I: The probability that the word contains the two S's together is \(\frac{1}{4}.\)
Statement II : The probability that the word begins and ends with L is \(\frac{1}{28}.\)
In the light of the above statements, choose the correct answer from the options given below.
- Both Statement I and Statement II are true
- Both Statement I and Statement II are false
- Statement I is true but Statement II is false
- Statement I is false but Statement II is true
View Solution

2.
A Glass Jar contains 1 Red, 3 Green, 2 Blue and 4 Yellow marbles. If a single marble is chosen then Match List I with List II:
List I List II
(A) Probability of yellow marble (I) \(\frac{1}{3}\)
(B) Probability of green marble (II)\(\frac{7}{10}\)
(C) Probability of either green or yellow marble (III) \(\frac{1}{2}\)
(D) Probability of either red or yellow marble (IV) \(\frac{4}{10}\)
Choose the correct answer from the options given below

(A)-(II), (B)-(III), (C)-(IV), (D)-(1)
(A)-(1), (B)-(IV), (C)-(II), (D)-(III)
(A) - (IV) B)-(I), (C)-(II), (D)-(III)
(A)-(IV), (B)-(II), (C)-(III), (D)-(1)

View Solution

3.
Given below are two statements:
Statement I: \((243)^{0.16} ×(9)^{0.1}=0.3\)
Statement II: If , \(3.105 ×10^P=0.00239+0.000715,\) then \(P=-3.\)
In the light of the above statements choose the most appropriate answer from the options given below:
- Both Statement I and Statement II are correct
- Both Statement I and Statement II are incorrect
- Statement I is correct but Statement II is incorrect
- Statement I is incorrect but Statement II is correct
View Solution
4.
Given below are two statements :
Statement I: The number of ways to pack six copies of the same book into four identical boxes where a box can contain as many as six books, is 9.
Statement II: The minimum number of students needed in a class to guarantee that there are at least six students whose birthday fall in the same month, is 61 . In the light of the above statements, choose the correct answer from the options given below
- Both Statement I and Statement II are true
- Both Statement I and Statement II are false
- Statement I is true but Statement II is false
- Statement I is false but Statement II is true
View Solution
5.
Brother and Sister both appear for an interview. The probability of the selection of brother is \(\frac{1}{8}\) while the probability of rejection of sister is \(\frac{4}{5}\). What is the probability that only one of them is selected?
- \(\frac{11}{40}\)
- \(\frac{5}{13}\)
- \(\frac{1}{10}\)
- \(\frac{7}{40}\)
View Solution
6.
During the next year, the probability that a Company A releases a mobile is 0.7. The probability that mobile is a success, given that it is released by the Company A is 0.8. The probability that a mobile is a success and released by a Company B is 0.28. A mobile released by either Company A or Company B during the next one year is a success. Find the probability that it is released by Company A.
- 1/3
- ½
- ⅔
- 3/4
View Solution
7.
Given below are two statements:
Statement I : A bag captains 10 white and 10 red face masks which are all mixed up. The fewest number of face masks you can take from a bag without looking and be sure to get a pair of the same color is 3.
Statement II: The minimum number of students needed in a class to guarantee that there are at least 6 students whose birthdays fall in the same month, is 61. In the light of the above statements, choose the most appropriate answer from the option given below:
- Both Statement I and Statement II are correct
- Both Statement I and Statement II are incorrect
- Statement I is correct but Statement II is incorrect
- Statement I is incorrect but Statement II is correct
View Solution
8.
Match List I with List II.
Let A and B be events with P(A)=⅔, P(B)=½ and p(A∩B)=⅓.
List I
Probability of an event List II
Value
(A) P(A∩B^c) (I) \(\frac{2}{3}\)
(B) P(A∪B^c) (II) \(\frac{1}{3}\)
(C) P(A^c∩B^c) (III) \(\frac{5}{6}\)
(D) P(A^c∪B^c) (IV) \(\frac{1}{6}\)

(Here c stands for complement)
Choose the correct answer from the options given below:
- (A)-(II), (B)-(III), (C)-(IV), (D)-(I)
- (A)-(IV), (B)-(III), (C)-(II), (D)-(I)
- (A)-(I), (B)-(III), (C)-(IV), (D)-(II)
- (A)-(II), (B)-(IV), (C)-(III), (D)-(I)
View Solution
9.
In a bag there are 15 red balls and 10 green balls. Three balls are selected at random. The probability of selecting 2 red balls and 1 green ball is :
- 21/46
- 25/117
- 3/25
- 1/50
View Solution
10.
Each of the five balls, such as red, blue, yellow, black, and green, is of a different weight. It is known that:
(i) Black ball is heavier than the Red and Blue balls.
(ii) Yellow ball is lighter than the Red ball.
(iii) Blue ball is heavier than the Red and Green balls.
Which ball could be the lightest one?
- Only Green
- Either Yellow or Green
- Only Yellow
- Either Yellow or Red
View Solution
11.
A fair coin is tossed repeatedly. If tail appears on first four tosses, then the probability of head appearing on fifth toss equals.
- \(\frac{5}{12}\)
- \(\frac{1}{2}\)
- \(\frac{5}{6}\)
- \(\frac{1}{6}\)
View Solution
12.
A glass jar contains 1 red, 3 green, 2 blue and 4 yellow marbles. If a single marble is chosen at random from the jar
(A)Probability of getting a yellow marble is \(\frac{1}{5}\)
(B) Probability of getting a green marble is \(\frac{3}{10}\)
(C) Probability of getting either a yellow or a green marble is \(\frac{7}{10}\)
(D) Probability of getting either a red or a yellow marble is \(\frac{3}{10}\)
Choose the correct answer from the options given below:
- (A) and (D) only
- (B) and (C) only
- (A) and (C) only
- (B) and (D) only
View Solution
13.
What is the probability of getting a sum of 22 or more when four dice are thrown?
- \(\frac{5}{432}\)
- \(\frac{4}{648}\)
- \(\frac{1}{144}\)
- \(\frac{7}{36}\)
View Solution
14.
A player can take a maximum of 4 chances to hit a bottle with a flying disc.The probability of hitting the bottle at the first, second,third and fourth shots are 0.1, 0.2, 0.35 and 0.45 respectively.What is the probability that the player hits the bottle with the flying disc?
- 0.6573
- 0.2574
- 0.7426
- 0.3427
View Solution
15.
A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at a random from the bag, one afteranother.What is the probability that the first ball drawn was red and the second ball drawn was yellow in colour?
- 3/14
- 5/7
- 2/7
- 1/14
View Solution

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CMAT PYQs for Probability with Solutions: Practice CMAT Previous Year Questions

CMAT PYQs for Probability with Solutions

3.
Given below are two statements:
Statement I: \((243)^{0.16} ×(9)^{0.1}=0.3\)
Statement II: If , \(3.105 ×10^P=0.00239+0.000715,\) then \(P=-3.\)
In the light of the above statements choose the most appropriate answer from the options given below:

5.
Brother and Sister both appear for an interview. The probability of the selection of brother is \(\frac{1}{8}\) while the probability of rejection of sister is \(\frac{4}{5}\). What is the probability that only one of them is selected?

9.
In a bag there are 15 red balls and 10 green balls. Three balls are selected at random. The probability of selecting 2 red balls and 1 green ball is :

11.
A fair coin is tossed repeatedly. If tail appears on first four tosses, then the probability of head appearing on fifth toss equals.

13.
What is the probability of getting a sum of 22 or more when four dice are thrown?

14.
A player can take a maximum of 4 chances to hit a bottle with a flying disc.The probability of hitting the bottle at the first, second,third and fourth shots are 0.1, 0.2, 0.35 and 0.45 respectively.What is the probability that the player hits the bottle with the flying disc?

15.
A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at a random from the bag, one afteranother.What is the probability that the first ball drawn was red and the second ball drawn was yellow in colour?

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List I	List II
(A) Probability of yellow marble	(I) \(\frac{1}{3}\)
(B) Probability of green marble	(II)\(\frac{7}{10}\)
(C) Probability of either green or yellow marble	(III) \(\frac{1}{2}\)
(D) Probability of either red or yellow marble	(IV) \(\frac{4}{10}\)

List I Probability of an event		List II Value
(A)	P(A∩B^c)	(I)	\(\frac{2}{3}\)
(B)	P(A∪B^c)	(II)	\(\frac{1}{3}\)
(C)	P(A^c∩B^c)	(III)	\(\frac{5}{6}\)
(D)	P(A^c∪B^c)	(IV)	\(\frac{1}{6}\)

CMAT PYQs for Probability with Solutions

3.Given below are two statements: Statement I: \((243)^{0.16} ×(9)^{0.1}=0.3\)Statement II: If , \(3.105 ×10^P=0.00239+0.000715,\) then \(P=-3.\)In the light of the above statements choose the most appropriate answer from the options given below:

5.Brother and Sister both appear for an interview. The probability of the selection of brother is \(\frac{1}{8}\) while the probability of rejection of sister is \(\frac{4}{5}\). What is the probability that only one of them is selected?

9.In a bag there are 15 red balls and 10 green balls. Three balls are selected at random. The probability of selecting 2 red balls and 1 green ball is :

11.A fair coin is tossed repeatedly. If tail appears on first four tosses, then the probability of head appearing on fifth toss equals.

13.What is the probability of getting a sum of 22 or more when four dice are thrown?

14.A player can take a maximum of 4 chances to hit a bottle with a flying disc.The probability of hitting the bottle at the first, second,third and fourth shots are 0.1, 0.2, 0.35 and 0.45 respectively.What is the probability that the player hits the bottle with the flying disc?

15.A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at a random from the bag, one afteranother.What is the probability that the first ball drawn was red and the second ball drawn was yellow in colour?

Comments

SUBSCRIBE TO OUR NEWS LETTER

3.
Given below are two statements:
Statement I: \((243)^{0.16} ×(9)^{0.1}=0.3\)
Statement II: If , \(3.105 ×10^P=0.00239+0.000715,\) then \(P=-3.\)
In the light of the above statements choose the most appropriate answer from the options given below:

5.
Brother and Sister both appear for an interview. The probability of the selection of brother is \(\frac{1}{8}\) while the probability of rejection of sister is \(\frac{4}{5}\). What is the probability that only one of them is selected?

9.
In a bag there are 15 red balls and 10 green balls. Three balls are selected at random. The probability of selecting 2 red balls and 1 green ball is :

11.
A fair coin is tossed repeatedly. If tail appears on first four tosses, then the probability of head appearing on fifth toss equals.

13.
What is the probability of getting a sum of 22 or more when four dice are thrown?

14.
A player can take a maximum of 4 chances to hit a bottle with a flying disc.The probability of hitting the bottle at the first, second,third and fourth shots are 0.1, 0.2, 0.35 and 0.45 respectively.What is the probability that the player hits the bottle with the flying disc?

15.
A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at a random from the bag, one afteranother.What is the probability that the first ball drawn was red and the second ball drawn was yellow in colour?