# MCQ Chapter 15 Probability Class 10 Mathematics

Please refer to Probability MCQ Questions Class 10 Mathematics below. These MCQ questions for Class 10 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 10 Mathematics

Please see solved MCQ Questions for Probability in Class 10 Mathematics. All questions and answers have been prepared by expert faculty of standard 10 based on the latest examination guidelines.

### MCQ Questions Class 10 Mathematics Probability

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
(a) 1/ 11
(b) 2/ 11
(c) 3/ 11
(d) 3/ 26

C

Question. A coin is tossed two times. Find the probability of getting at least one head is
(a) 1/ 4
(b) 3 /4
(c) 1/ 8
(d) 3/ 8

B

Question. A die is thrown once. What is the probability of getting a number greater than 4?
(a) 1/ 2
(b) 1/ 3
(c) 1/ 4
(d) 1/ 5

B

Question. A bag contains, white, black and red balls only. A ball is drawn at random from the bag. If the probability of getting a white ball is 3 10 and that of a black ball is 2 5 , then find the probability of getting a red ball. If the bag contains 20 black balls, then total number of balls in the bag is
(a) 30
(b) 50
(c) 38
(d) 54

B

Question. A bag contains 15 white and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball, the number of black balls in the bag is
(a) 15
(b) 30
(c) 30
(d) 45

D

Question. A game consists of tossing a coin 3 times and noting the outcomes each time. If getting the same result in all the tosses is a success, the probability of losing the game is
(a) 3/ 4
(b) 1/4
(c) 3/ 8
(d) 1

A

Question. A ticket is drawn at random from a bag containing tickets numbered from 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

A

Question. A number x is selected at random from the numbers 1, 4, 9, 16 and another number y is selected at random from the numbers 1, 2, 3, 4. The probability that the value of xy is more than 16 is
(a) 3/ 8
(b) 5/ 8
(c) 7/ 8
(d) 1

A

Question. Two players, Sangeeta and Reshma, play a tennis match. It is known that the probability of winning the match by Sangeeta is 0.62. What is the probability of winning the match by Reshma?
(a) 0.22
(b) 0.24
(c) 0.38
(d) 0.35

C

Question. The probability of selecting a red ball at random from a jar that contains only red, blue and orange balls is 1 4 . The probability of selecting a blue ball at random from the same jar is 1 3 . The jar contains 10 orange balls, the total number of balls in the jar is
(a) 16
(b) 20
(c) 24
(d) 26

C

Question. Cards marked with number 3, 4, 5, …, 50 are placed in a box and mixed thoroughly. A card is drawn at random from the box. The probability that the selected card bears a perfect square number is
(a) 1/ 4
(b) 1/ 6
(c) 1/ 5
(d) 1/ 8

D

Question. A ticket is drawn at random from a bag containing tickets numbered from 1 to 40. The probability that the selected ticket has a number which is a multiple of 10 is
(a) 7/ 10
(b) 3/ 10
(c) 1 /10
(d) 9/10

C

Question. 20 tickets, on which numbers 1 to 20 are written, are mixed thoroughly and then a ticket is drawn at random out of them. The probability that the number on the drawn ticket is a multiple of 3 or 7 is
(a) 1/ 5
(b) 2/ 5
(c) 3/ 5
(d) 1

B

Question. One card is drawn from a well shuffled deck of 52 cards. The probability that it is black queen is
(a) 1/ 26
(b) 1/ 13
(c) 1/ 52
(d) 2 /13

A

Question. A letter is selected at random from the set of English alphabets. What is the probability that it is a vowel?
(a) 1/ 26
(b) 3 /26
(c) 5/ 26
(d) 7/ 26

C

Question. The probability of an impossible event is
(a) 1
(b) 1/ 2
(c) not defined
(d) 0

D

Question. Two different dice are tossed together. The probability that the product of the two numbers on the top of the dice is 6 is
(a) 4/ 9
(b) 5/ 9
(c) 8 /9
(d) 1/ 9

D

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) ≤ 1

C

Question. A die is thrown once. What is the probability of getting a number less than 3?
(a) 1 /2
(b) 1/ 3
(c) 1/ 5
(d) 1 /9

B

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 /15

C

Question. The probability of getting a black queen when a card is drawn at random from a well-shuffled pack of 52 cards is
(a) 1/ 26
(b) 3 / 26
(c) 8 /13
(d) 1

A

Question. A number is chosen at random from the numbers −3, −2, −1, 0, 1, 2, 3. What will be the probability that square of this number is less than or equal to 1?
(a) 3/ 7
(b) 4/ 7
(c) 5/ 7
(d) 6/ 7

A

Question. The probability of selecting a rotten apple randomly from a heap of 900 apples is 0·18. What is the number of rotten apples in the heap?
(a) 122
(b) 144
(c) 162
(d) 184

C

Question. A letter of English alphabet is chosen at random. The probability that the chosen letter is a consonant is
(a) 7 /26
(b) 5/ 26
(c) 11/ 26
(d) 21 /26

D

Question. Cards numbered 7 to 40 were put in a box. Poonam selects a card at random. What is the probability that Poonam selects a card which is a multiple of 7?
(a) 3 /28
(b) 5 / 34
(c) 7/ 34
(d) 9 /34

B

Question. If the probability of an event E happening is 0.023, then P¯(E) =
(a) 0.245
(b) 0.977
(c) 0.678
(d) 0.5

B

Question. Three cards of spades are lost from a pack of 52 playing cards and the remaining cards are shuffled and then a card was drawn at random from them. The probability that the drawn card is of black colour is
(a) 11 /52
(b) 19/ 52
(c) 23 /52
(d) 27 /52

C

Question. A card is drawn at random from a well shuffled pack of 52 playing cards. The probability of getting a red face card is
(a) 3/ 26
(b) 5/ 26
(c) 2 /13
(d) 1/ 26

A

Question. 1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If John has purchased one lottery ticket, what is the probability of winning a prize?
(a) 1/ 100
(b) 7/ 200
(c) 3/ 200
(d) 1/ 200

D

Question. The probability of getting a doublet in a throw of a pair of dice is
(a) 1/ 2
(b) 1 / 4
(c) 1/ 5
(d) 1/ 6

D

Question. The probability of guessing the correct answer to a certain test is p/ 12 . If the probability of not guessing the correct answer to this question is 3/ 1 , then the value of p is
(a) 2
(b) 4
(c) 6
(d) 8

D

Question. The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. The probability of getting a card of queen is
(a) 1/ 49
(b) 2/ 49
(c) 3/ 49
(d) 5/ 49

C

Question. A lot of 25 bulbs contain 5 defective ones. One bulb is drawn at random from the lot. What is the probability that the bulb is good?
(a) 1/ 5
(b) 2 /5
(c) 3/ 5
(d) 4/ 5

D

Question. If the probability of an event is p, the probability of its complementary event will be
(a) p – 1
(b) p
(c) 1 – p
(d) 1−1/ p

C

Question. If a number x is chosen at random from the numbers –3, –2, –1, 0, 1, 2, 3. What is probability that x2 ≤ 4?
(a) 5/ 7
(b) 3/ 7
(c) 4 /7
(d) 6 /7

A

Question. Two dice are thrown at the same time and the product of numbers appearing on them is noted. The probability that the product is a prime number is
(a) 1/ 3
(b) 1/ 6
(c) 1/ 5
(d) 5/ 6

B

Question. Rahim tosses two different coins simultaneously. The probability of getting at least one tail is
(a) 1/4
(b) 3/ 4
(c) 3 /5
(d) 1/ 6

B

Question. In the given figure, a disc is shown on which a player spins arrow twice. The fraction a/b is formed, where ‘a’ is the number of sector on which arrow stops in the first spin and ‘b’ is the number of the sector in which the arrow stops in the second spin. On each spin, each sector has equal chance of selection by the arrow. The probability that the fraction a/b > 1 is

(a) 1/ 12
(b) 5/ 6
(c) 5/12
(d) 1

C

Question. A jar contains 24 marbles, some are green and other are blue. If a marble is drawn at random from the jar, the probability that it is green is 2 3 . The number of blue marbles in the jar is
(a) 5
(b) 6
(c) 4
(d) 8

D

Question. A card is drawn from a deck of 52 cards. The event E is that the card is not an ace of hearts. The number of outcomes favourable to E is
(a) 52
(b) 53
(c) 51
(d) 31

C

Question. A card is drawn at random from a well-shuffled pack of 52 playing cards. The probability of getting neither a red card nor a queen is
(a) 6/ 13
(b) 7 /13
(c) 11 /13
(d) 9/ 13

A

Question. A card is selected from a deck of 52 cards. The probability of it being a red face card is
(a) 5/ 52
(b) 7/ 52
(c) 3/26
(d) 5/ 26

C

Question. A game consists of tossing a 10 rupee coin 3 times and noting its outcome each time. Sudhir wins if all the tosses give the same result, i.e., three heads or three tails and loses otherwise. The probability that Sudhir will not win the game is
(a) 1/ 4
(b) 1/ 6
(c) 3/ 4
(d) 10

C

Question. A fair coin is tossed thrice. Identify the probability of getting 3 tails as a fraction.
(a) 1/8
(b) 3/8
(c) 7/8
(d) 1/4

A

Question. A bag contains 40 coins, consisting of ` 2, `5 and `10 denominations. If a coin is drawn at random, the probability of drawing a ` 2 coin is 5/8 . lf x ` 2 coins are removed from the bag and then a coin is drawn at random, the probability of drawing a ` 2 coin is 1/2. Find the value of x .
(a) 5
(b) 2
(c)10
(d) 8

C

Question. A spinner is spun. What is the number of possible outcomes of the event that the arrow will stop in the sector with an odd number.

(a) 1
(b) 2
(c) 3
(d) 4

B

Question. Turn the given cards facing down and shuffle.

Turn one card facing up. What is the probability that it shows a circle?
(a) 2/7
(b) 5/7
(c) 3/7
(d) 1/7

A

Question. A restaurant operator checked a sample of 200 plates and found that 10 of them were defective. The chef of the restaurant picks a plate from this sample. What is the probability that he will get a defective plate?
(a) 0.5
(b) 0.05
(c) 0.2
(d) 20

B

Question. Two dice are rolled at once and the numbers shown are added up. What is the probability of getting a total of 14?
(a) 1/2
(b) 1
(c) 0
(d) 2/3

C

Question. The given figure shows 10 alphabet cards.

What is the probability of getting a card labelled ‘S’ when the card is chosen at random?
(a) 1/5
(b) 2/5
(c) 1/10
(d) 1/6

A

Question. A certain class has ‘s’ students. If a student is picked at random, the probability of picking a boy is 8/13. If the class has 24 boys, what is the value of ‘s’?
(a) 26
(b) 39
(c) 52
(d) 60

B

Question. A weather forecast center predicts that it will rain for 3 days in a duration of 20 days. Find the probability of rain on a particular day.
(a) 17/20
(b) 3/17
(c) 20/17
(d) 3/20

D

Question. A box contains 60 pens which are blue inked or black-inked. If a pen is picked at random, the probability of picking a blueinked pen is .What is the number of blueinked pens in the box?
(a) 32
(b) 48
(c) 30
(d) 24

D

Question. If the probability of winning a game is 0.07, what is the probability of losing it?
(a) 0.33
(b) 0.63
(c) 0.93
(d) 0.57

C

Question. In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Choose the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
1. Assertion (A): If a pair of dice is thrown once, then the probability of getting a sum of 8 is 5/ 36 .
Reason (R): In a simultaneous toss of two coins, the probability of getting exactly one head is 1/ 2 .
2. Assertion (A): The probability of a sure event is 1.
Reason (R): Let E be an event. Then 0 ≤ P (E) ≤ 1.