CBSE Class 10 Mathematics Probability Assignment Set C

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

Answer: C

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

Answer: B

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

Answer: 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

Answer: B

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

Answer: 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

Answer: C

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

Answer: C

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

Answer: A

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

Answer: 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

Answer: 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

Answer: 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

Answer: D

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.

Answer
1. (B) , 2. (B)

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

Answer: D

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

Answer: D

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

Answer: 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

Answer: C

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

Answer: A

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

Answer: B

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

Answer: 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

Answer: 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

Answer: 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

Answer: 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

Answer: C

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

Answer: B

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

Answer: 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

Answer: C