# MCQ Questions Chapter 15 Probability Class 10 Mathematics

Please refer to MCQ Questions Chapter 14 Probability Class 10 Mathematics with answers provided below. These multiple-choice questions have been developed based on the latest NCERT book for class 10 Mathematics issued for the current academic year. We have provided MCQ Questions for Class 10 Mathematics for all chapters on our website. Students should learn the objective based questions for Chapter 14 Probability in Class 10 Mathematics provided below to get more marks in exams.

## Chapter 14 Probability MCQ Questions

Please refer to the following Chapter 14 Probability MCQ Questions Class 10 Mathematics with solutions for all important topics in the chapter.

MCQ Questions Answers for Chapter 14 Probability Class 10 Mathematics

Question. If xi’s are the mid-points of the class intervals of the grouped data, fi’s are the corresponding frequencies and x is the mean, then (fixi – x ) is equal to:
(a) 0
(b) –1
(c) 1
(d) 2

D

Question. When a die is thrown, the probability of getting an odd number less than 3 is:
(a) 1/6
(b) 1/ 3
(c) 1/ 2
(d) 0

A

Question. If an event cannot occur, then its probability is:
(a) 1
(b) 3/ 4
(c) 1/ 2
(d) 0

D

Question. Which of the following cannot be the probability of an event ?
(a) 1/ 3
(b) 0.1
(c) 3%
(d) 17/ 16

D

Question. If P(E) = 0.005, then the probability of “not E” is:
(a) 0.05
(b) 0.5
(c) 0.995
(d) 0.95

C

Question. The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is:
(a) 7
(b) 14
(c) 21
(d) 58

B

Question. A number from numbers 1 to 100 was chosen at random. What is the probability that this number is a prime number that lies between 75 and 85?
(a) 1/10
(b) 1/50
(c) 1/25
(d) 7/100

B

Question. If a letter is chosen at random from the letter of English alphabet, then the probability that it is a letter of the word ‘DELHI’ is
(a) 1/ 5
(b) 1/ 26
(c) 5 /26
(d) 21/ 26

C

Question. A dice is thrown twice. The probability of getting 4, 5 or 6 in the first throw and 1, 2, 3 or 4 in the second throw is:
(a) 1/ 3
(b) 2/ 3
(c) 1/ 2
(d) 1 /4

A

Question. A bag contains 3 red, 5 black and 7 white balls. A ball is drawn from the bag at random. The probability that the ball drawn is not black, is
(a) 1/3
(b) 9/15
(c) 5/10
(d) 2/3

D

Question. The mean and median of a distribution are 14 and 15, respectively. The value of the mode is:
(a) 16
(b) 17
(c) 18
(d) 13

B

Question. The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observation of the set is increased by 2, then the median of the new set:
(a) is increased by 2.
(b) is decreased by 2.
(c) is two times the original median.
(d) remains the same as that of the original set.

D

Question. While computing the mean of grouped data, we assume that the frequencies are:
(a) evenly distributed over all the classes.
(b) centred at the classmarks of the classes.
(c) centred at the upper limits of the classes.
(d) centred at the lower limits of the classes.

B

Question. A girl calculates that the probability of her winning the first price in a lottery is 0.08. If 6000 tickets are sold, how many tickets has she bought ?
(a) 40
(b) 240
(c) 480
(d) 750

C

Question. A card is selected from a deck of 52 cards. The probability of its being a red face card is:
(a) 3 /26
(b) 3 /13
(c) 2/ 13
(d) 1/2

A

Question. A school has five houses A, B, C, D and E. A class has 23 students, 4 from house A, 8 from house B, 5 from house C, 2 from house D and the rest from house E. A single student is selected at random to be the class monitor. The probability that the selected student is not from A, B and C is
(a) 4/ 23
(b) 6 /23
(c) 8/ 23
(d) 17 /23

B

Question. The probability expressed as a percentage of a particular occurrence can never be:
(a) less than 100
(b) less than 0
(c) greater than 1
(d) anything but a whole number

B

Question. A set of numbers consists of three 4s, two 5s, six 6s, eight 8s and seven 10s. What is the mode of this collection of numbers?
(a) 10
(b) 7.5
(c) 7
(d) 8

D

Question. One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is:
(a) 1/ 5
(b) 3/5
(c) 4/ 5
(d) 1/ 3

A

Question. If P(a) denotes the probability of an event a, then:
(a) P(a) < 0
(b) P(a) > 1
(c) 0 £ P(a) £ 1
(d) –1 £ P(a) £ 0

C

Question. Someone is asked to take a number from 1 to 100. The probability that it is a prime is:
(a) 1/ 5
(b) 6 /25
(c) 1/ 4
(d) 13/ 50

C

Question. Three letters, to each of which corresponds an addressed envelope are placed in the envelopes at random. What is the probability that all letters are placed in the right envelopes?
(a) 1/3
(b) 1
(c) 1/6
(d) 0

C

Question. A book containing 100 pages is opened at random. What is the probability that a doublet page is found?
(a) 9/100
(b) 90/100
(c) 10/100
(d) 20/100

A

Question. A box contains 7 red, 3 white and 2 black balls, when a ball is picked at random from the box what is the probability that it is not red?
(a) 1/12
(b) 11/12
(c) 7/12
(d) 5/12

D

Question. From a normal pack of cards, a card is drawn at random. Find the probability of getting a jack or a king.
(a) 2/52
(b) 1/52
(c) 2/13
(d) 1/26

C

Question. An unbiased coin is tossed 5 times. What is the odds in favour of getting at least one tail?
(a) 31 :1
(b) 1 :31
(c) 32:32
(d) 31 :32

A

Question. If a coin is tossed twice, find the probability of getting at least one head.
(a) 1/2
(b) 1/4
(c) 3/4
(d) 1/8

C

Question. A bag contains 3 white and 5 red balls. If a ball is drawn at random, what is the probability that it is red?
(a) 3/8
(b) 5/8
(c) 3/15
(d) 5/15

B

Question. What is the probability of getting an even number when a die is rolled?
(a) 1/6
(b) 1/36
(c) 1/2
(d) 1/12

C

Question. OA card is drawn from a packet of 100 cards numbered 1 to 100. Find the probability of drawing a number which is a square.
(a) 1/10
(b) 9/100
(c) 1/100
(d) 2/100

A

Question. What is the probability of getting a prime number in a throw of a die?
(a) 2
(b) 1/2
(c) 3/2
(d) 6

B

Question. Two numbers are chosen from 1 to 5. What is the probability for the two numbers to be consecutive?
(a) 1/5
(b) 2/5
(c) 1/10
(d) 2/10

B

Question. What is, the probability that a vowel selected at random in English alphabet is an “i”?
(a) 1/5
(b) 1/26
(c) 1/6
(d) 1

A

Fill in the Blanks :

Question. The probability of getting a number which is neither prime nor composite in single throw of a dice is ……………… .

Of the six numbers only one number, i.e. 1 is neither prime nor composite.

Question. If the probability of an event E happening is 0.023, then P(E) = ……………….. .

We know that P(E) + P(E) = 1

Question. A number is chosen at random from the numbers –5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5.

Then the probability that square of this number is less than or equal to 1 is ……………….. .  11/ 3

Question. Mode of observations 4, 3, 1, 2, 3, 4, 4 is ……………….. .

The most frequent observation in the given data is 4.

Question. The probability of an event that is sure to happen, is ……………….. .

1

Question. Number of face cards in a pack of 52 cards is ……………….. .

12

Question. When a digit is choosen at random from the digits, 1 to 9, then the probability of this chosen digit to be a prime number is ……………….. .

Between 1 to 9, there are 4 prime numbers (i.e. 2, 3, 5, 7) \ P(a prime number) = 4/ 9

Question. Total number of outcomes in a single throw of three coins is ……………… .

Total number of outcomes in a single throw of three coins is eight.

(a) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
(c) If Assertion is correct but Reason is incorrect.
(d) If Assertion is incorrect but Reason is correct.

Question. Assertion : If a box contains 5 white, 2 red and 4 black marbles, then the probability of not drawing a white marble from the box is 5 /11 .
Reason : P¯(E) = 1– P(E), where E is any event.

D

Question. Assertion : An event is very unlikely to happen. Its probability is 0.0001
Reason : If P(A) denote the probability of an event A, then 0 < P(A) < 1.

B

Question. Assertion : If the probability of an event is P then probability of its complementary event will be 1 – P.
Reason : When E and ¯E are complementary events, then P(E) + P¯(E) = 1

A

Question. Assertion : In rolling a dice, the probability of getting number 8 is zero.
Reason : Its an impossible event.

A

Question. Assertion : If a die is thrown, the probability of getting a number less than 3 and greater than 2 is zero.
Reason : Probability of an impossible event is zero.

A

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