# Case Study Chapter 14 Probability Mathematics

Please refer to Case Study Chapter 14 Probability Mathematics with answers provided below. These case study based questions are expected to come in the upcoming Class 10 Mathematics examinations. We have provided case study questions class 10 maths for all chapters on our website as per the latest examination pattern issued by CBSE, NCERT, and KVS.

## Chapter 14 Probability Case study Questions Class 10 Maths

I. Garima has two children, Tapan and Maya. Every Sunday is a game night in the family. Tonight Garima has planned for a game with three cubes, one purple and two yellow. She placed the three cubes in a bag and called for her children.
Garima: Do you want to play a game of probability?
Maya: What is probability?
Garima: Let me ask you something before I answer you. Can you predict what is in this bag?
Tapan: I cannot guess that!
Maya: I am 100% sure it is a toy!
Garima: I am glad you think that Maya. Just now you used the concept of probability.
Whether an event can happen or not, can’t be predicted with total certainty. But we can always predict how likely or unlikely it is for an event to happen.
And for predicting that, we use a concept called probability.
Probability (an event to happen) = Number of ways event can happen/ Total number of ways all events can happen
Placing the bag of cubes in the centre, Garima explained the rules of the game to the children.
Garima: Without looking, the first player will pick out a cube from the bag and then the second player will also pick out one cube without looking. If the two cubes picked out were the same colour, then the first person will win the game. If the boxes picked out are of two differently coloured cubes, then the second player will be the winner.

Question. In the third round, Maya pulled out a cube. The probability that the pulled out cube is not of yellow colour is
(a) 1
(b) 1/ 2
(c) 1/ 3
(d) 2/3

C

Question. In the first round, Maya pulled out a cube, which was yellow. What is the probability that Tapan will win the game?
(a) 1/ 2
(b) 1/ 3
(c) 2/3
(d) 0

A

Question. In the fourth round, Tapan pulled out a cube. The probability that the pulled out cube is either purple or yellow is
(a) 1
(b) 1/ 2
(c) 1/ 3
(d) 2/ 3

A

Question. In the last round, Maya pulled out a cube. The probability that the pulled out cube is of green colour is
(a) 1
(b) 1/ 2
(c) 1/ 3
(d) 0

D

Question. In the second round, Tapan started by picking out a purple cube. What is the probability for Tapan to win the round?
(a) 1
(b) 1/ 3
(c) 0
(d) 2/ 3

C

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

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) 5/ 36
(c) 1 /18
(d) 0

A

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

D

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

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 is equal to 7?
(a) 5/ 9
(b) 5/ 36
(c) 1 /6
(d) 0

C

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 is 13?
(a) 1
(b) 5 /36
(c) 1/ 18
(d) 0

D

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 red face card.
(a) 3 /26
(b) 1/ 13
(c) 1/ 52
(d) 1/ 4

A

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

B

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

D

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

A

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

D

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

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) 5/ 36
(c) 1/ 18
(d) 0

A

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 is equal to 7 ?
(a) 5 /9
(b) 5 /36
(c) 1/ 6
(d) 0

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

D

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

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 is 13?
(a) 1
(b) 5 /36
(c) 1 /18
(d) 0