CBSE Class 10 Mathematics Probability Assignment Set B

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

Answer: B

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

Answer: A

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

Answer: 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

Answer: C

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

Answer: C

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

Answer: B

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

Answer: D

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

Answer: B

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

Answer: A

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

Answer: D

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

Answer: A

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

Answer: 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

Answer: 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

Answer: D

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

Answer: C

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

Answer: D

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

Answer: 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

Answer: 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

Answer: 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

Answer: C

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

Answer: C

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

Answer: 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

Answer: C

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

Answer: C