CBSE Class 10 Mathematics Probability MCQs Set D

Question. A bag contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. What is the probability that the number on the drawn card is a perfect square number?
(a) 2/5
(b) 12/25
(c) 3/5
(d) 1/5

Answer: D

Question. A dice is rolled twice. What is the probability that 5 will not come up either time?
(a) 2/5
(b) 25/36
(c) 3/5
(d) 1/5

Answer: B

Question. Two different dice are thrown together. What is the probability that the number obtained have a sum less than 7?
(a) 13/18
(b) 5/18
(c) 4/9
(d) 5/12

Answer: D

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, what is the number of blackballs in the bag?
(a) 40
(b) 45
(c) 50
(d) 55

Answer: B

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) 3/5
(b) 1/5
(c) 1/3
(d) 4/5

Answer: B

Question. Which of the following cannot be the probability of an event?
(a) 1.5
(b) 7/5
(c) 125%
(d) All the above.

Answer: D

Question. An experiment whose outcomes has to be among a set of events that are completely known but whose exact outcomes is unknown is a
(a) sample space
(b) elementary event
(c) random experiment
(d) none of these

Answer: C

Question. A fair dice is rolled. Probability of getting a number x such that 1 ≤ x ≤ 6, is
(a) 0
(b) > 1
(c) between 0 and 1
(d) 1

Answer: D

Question. The probability of getting exactly one tail in tossing a pair of coins is
(a) 0
(b) 1
(c) 1/3
(d) 1/2

Answer: D

Question. A girl calculates that the probability of her winning the first prize in a lottery is 8%. If 6,000 tickets are sold, how many tickets has she bought?
(a) 400
(b) 750
(c) 480
(d) 240

Answer: C

Question. An event is very unlikely to happen. Its probability is closest to
(a) 0.0001
(b) 0.001
(c) 0.01
(d) 0.1

Answer: A

Question. A man is known to speak truth 3 out of 4 times. He throws a die and a number other than six comes up. Find the probability that he reports it is a six.
(a) 3/4
(b) 1/4
(c) 1/2
(d) 1

Answer: B

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) 18
(b) 81
(c) 738
(d) 162

Answer: D

Question. The probability of getting exactly one head in tossing a pair of coins is
(a) 0
(b) 1
(c) 13
(d) 1/2

Answer: D

Question. Cards bearing numbers 3 to 20 are placed in a bag and mixed thoroughly. A card is taken out from the bag at random. What is the probability that the number on the card taken out is an even number?
(a) 3/20
(b) 20/3
(c) 1/2
(d) 4/5

Answer: C

Question. The probability of a non-leap year having 53 Mondays is
(a) 1/7
(b) 1/53
(c) 7/53
(d) 6/7

Answer: A

Question. Two different dice are thrown together. What is the probability that the number obtained is a doublet of odd numbers
(a) 13/18
(b) 1/12
(c) 4/9
(d) 1/4

Answer: B

(CASE STUDY BASED QUESTIONS)

1. On a weekend Rani was playing cards with her family.The deck has 52 cards.If her brother drew one card.

Question. Find the probability of getting a king of redcolour.
a) 1/26
b) 1/13
c) 1/52
d) 1/4

Answer: A

Question. Find the probability of getting a face card.
a) 1/26
b) 1/13
c) 2/13
d) 3/13

Answer: D

Question. Find the probability of getting a jack of hearts.
a) 1/26
b) 1/52
c) 3/52
d) 3/26

Answer: B

Question. Find the probability of getting a red face card.
a) 3/26
b) 1/13
c) 1/52
d) 1/4

Answer: A

Question. Find the probability of getting aspade
a) 1/26
b) 1/13
c) 1/52
d) 1/4

Answer: D

2. Rahul and Ravi planned to play Business (board game) in which they were supposed to use two dice.

Question. Ravi got first chance to roll the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 8?
a) 1/26
b) 5/36
c) 1/18
d) 0

Answer: B

Question. Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is13?
a) 1
b) 3/56
c) 1/18
d) 0

Answer: D

Question. Now it was Ravi’s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is less than or equal to 12?
a) 1
b) 3/56
c) 1/18
d) 0

Answer: A

Question. Rahul got next chance. What is the probability that he got the sum of the twonumbers appearing on the top face of the dice is equal to 7?
a) 5/9
b) 5/36
c) 1/6
d) 0 

Answer: C

Question. Now it was Ravi’s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is greater than 8?
a) 1
b) 5/36
c) 1/18
d) 5/18

Answer: D

3. A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7 and 8 (see the figure) and these are equally likely outcomes.

Question. Find the probability that arrow point line on the number 8
a) 5/8
b) 1/7
c) 1/8
d) 1

Answer: C

Question. What is the probability that arrow point lie on the odd number?
a) 1/3
b) 1/2
c) 1/4
d) 1/5

Answer: B

Question. What is the probability that arrow point line on the number greater than 2?
a) 1/2
b) 1
c) 1/4
d) 3/4

Answer: D

Question. Find the probability that, arrow pointer is always on the number greater than 8
a) 1/2
b) 1
c) 0
d) 1/4

Answer: C

Question. If a pointer lies mid of the number 2 and 3, then the probability is
a) 1/2
b) 1/3
c) 1/4
d) None of the above

Answer: D

4. Rehana and Roseline are best friends.They are staying in the same colony. Both are studying in the same classand in the same school. During winter vacation Rehana visited Roseline’s house to playLudo.They decided to play Ludo with 2 dice. To win a game, Rehana wanted a total of 7.

Question. What is the probability of winning a game by Rehana?
a) 1/6
b) 7/12
c) 5/18
d) 1/9

Answer: A

Question. To win a game, Roseline wanted 8 as the sum.What is the probability of winning a game by Roseline?
a) 1/12
b) 7/36
c) 5/36
d) 1/4

Answer: C

Question. What is the probability that the sum of the numbers on both the dice is divisible by4 or 6.
a) 7/18
b) 7/15
c) 5/18
d) 2/9

Answer: A

Question. The probability of getting a total of at least 10 is
a) 1/6
b) 1/3
c) 2/3
d) 1/4

Answer: A

Question. What is the probability that 5 will come up at least in 1 die?
a) 7/36
b) 11/36
c) 25/36
d) 2/9

Answer: B

5. In a bridge game, there are four persons play and make a pair of two-two persons apartner. In a deck of 52 playing cards, distributed around the table clockwise in such a way that each person gets 13 cards.

Question. Find the probability that the card drawn is a queen of black colour.
a) 25/26
b) 3/26
c) 1/26
d) 5/26

Answer: C

Question. Find the probability that the card drawn is a card with number 5 or 6.
a) 2/13
b) 11/13
c) 1/13
d) 12/13

Answer: A

Question. Find the probability that the card drawn is a card with number less than 8
a) 6/13
b) 5/13
c) 7/13
d) None of these.

Answer: A

Question. Find the probability that the card drawn is a card with number between 2 and 9.
a) 7/13
b) 5/13
c) 6/13
d) 3/13

Answer: C

Question. Find the probability that any one person get a queen of spade?
a) 1/2
b) 1/3
c) 1/4
d) 1

Answer: C

6. One day during games period,four friends namely A,B,C and D planned to play game using number cards. They prepared 20 numbered cards with labelled 1 to 20 and then they put all the numbered cards in the empty chalk box available in the class room. In this game every friend was asked pick the card randomly and after each draw, card was replaced in the chalk box.

Question. Find the probability, first boy pick the card and he get the card with an even number?
a) 1/4
b) 1/2
c) 1/6
d) 3/8

Answer: B

Question. If the card drawn in first case is replaced and the second boy draws a card.What is theprobability of getting a prime number?
a) 2/5
b) 4/25
c) 7/8
d) 9/11

Answer: A

Question. If the card drawn is not replaced in the second draw,what is the probability that he got amultiple of 3 greater than 4?
a) 1/11
b) 7/20
c) 6/19
d) 5/19

Answer: D

Question. For a sure event A, P(a) =?
a) 1
b) 100%
c) 20/20
d) All of the given options.

Answer: D

Question. If all cards drawn are replaced then what is the probability of getting a multiple of 3 and 5?
a) 1/2
b) 1/5
c) 1/20
d) 1/18

Answer: C

Question. The diagram shows a grid of Squares. A button is placed on one of the squares. A fair dice is thrown.If 1,2,3or 4 thrown, the button is moved one square to the left. If 5 and 6 is thrown, the button is moved one square to the right.

Question. The button is placed on red coloured square, the dice is thrown once.Then the probability that the button is moved to the right,is____
a) 1/2
b) 1/3
c) 2/3
d) 3/4

Answer: B

Question. On the other occasion, the button is place on yellow square. The dice is thrown once and the button is moved.The die is thrown a second time and the button is moved again. The probability that the button is moved at Violet is
a) 1/2
b) 1/3
c) 1/9
d) 4/9

Answer: C

Question. In the situation in Q. (ii), The probability that the button is moved at “Pink Sqaure” is
a) 0
b) 1/2
c) 2/3
d) 3/4

Answer: A

Question. Inthe situation in Q. (ii), The probability that the button is moved at “YellowSqaure” is
a) 1/2
b) 1/3
c) 2/9
d) 4/9

Answer: D

Question. In the situation in Q. (ii), The probability that the button is moved at Violet, Pink or “Yellowsquare” is
a) 1/2
b) 1/3
c) 1/9
d) None of the given options.

Answer: D

8. Tossing of pair of coins.
A,B and C are fighting to get a first chance in a game. “A” says let us toss two coins. If both heads appear “A”will take first chance. If both tail appear, “B” will take first chance and one head and one tail appear “C” will take first chance.

Question. What is the Probability of“A” getting the first chance?
a) 1/2
b) 1/3
c) 1/4
d) 2/3

Answer: C

Question. What is the Probability of “B” getting the first chance?
a) 1/2
b) 1/3
c) 2/3
d) 1/4

Answer: D

Question. What is the Probability of “C” getting the first chance?
a) 1/2
b) 1/3
c) 1/4
d) 2/3

Answer: A

Question. Is “A” s decision is fair?
a) yes
b) no
c) can’t say
d) none of the options.

Answer: B

Question. What is the Probability of a sure event?
a) 0
b) 1/3
c) 2/3
d) 1

Answer: D