CBSE Class 10 Maths 2024-25: Chapter 14 Probability Competency-Based Questions with Answers; Download Free PDF

As the CBSE Class 10 board exams get closer, students need to understand the new exam pattern. Starting in the 2024-25 school year, CBSE will include 50% more competency-based questions. These questions will be both multiple choice and written, focusing on how to use what students have learned in real-life situations.

This article explores Chapter 14 Probability. It highlights key competency-based questions and provides answers to help students succeed.

Understanding Competency-Based Questions in Chapter 14 Probability

Competency-based questions are designed to see how well students can apply their knowledge in everyday life. They can come in different forms, such as case studies, true-false questions, gap-filling tasks, and long or short answer questions.

Competency-based questions in Chapter 14 Probability go beyond memorization, encouraging critical thinking and problem-solving. These questions help students grasp concepts deeply by applying them to real-world scenarios.

CBSE Class 10 Maths Chapter 14: Probability Important Competency-Based Questions

Multiple Choice Question

Q.1 A library receives a shipment for a series of encyclopedias. The shipment includes volumes 31 - 40. These encyclopedias arrived in a box and are not ordered.

One encyclopedia is picked at random from the box without looking into it.

What is the probability that the volume of the encyclopedia picked is a multiple of 2 OR 5

Answer. (3)

Q.2 In basketball, different shots have varying point values – a two-point shot is taken from inside the three-point line, while a three-point shot is taken from outside the three-point line.

In a basketball match, a player shot 5 three-point shots and 9 two-point shots out of the 35 shots he made.

A particular shot he took was chosen at random. What is the probability that the shot that was chosen was NEITHER a three-point shot NOR a two-point shot?

Answer. (3)

Q.3 Jyoti and Dara are playing a game of tic-tac-toe. The probability of Jyoti winning the game is 0.7.

What is the probability that Jyoti NOT winning the game?

1. 0.7
2. 0.5
3. 0.3
4. (cannot be determined)

Answer. (3)

Q.4 A card is drawn at random from a well shuffled standard deck of 52 cards.

What is the probability that the card drawn is NEITHER a black card NOR a three?

( Note: A deck of cards is divided into four suits - 2 black and 2 red. Each suit contains 13 ranks including numbered cards 2 through 10, and the face cards (jack, queen, king), along with the ace.)

Answer. (2)

Q.5 Matilda made the following pattern during art class.

Answer. (3)

Q.6 An apartment complex has 20 apartments of different sizes - 2BHK, 3BHK, 4BHK. The

How many 3BHK apartments are in the apartment complex?

1. 2
2. 4
3. 5
4. 8

Answer. (4)

Q.7 A box contains some new and weathered cricket balls of two colours. This data is shown in the table below.

Pratik picks a new, white ball and puts it back in the box.

If a ball is then picked randomly from the box, what is the probability that it is NOT the same variety as Pratik picked?

Answer. (4)

Q.8 In a school, each student is assigned to one of the three houses- Honesty, Integrity and Courage. In a class of 43 students, 13 students are in Honesty house, 16 students are in Integrity house, and rest are in Courage house.

If a student from this class is selected at random as a class representative, what is the probability that they belong to EITHER Integrity or Courage house?

Answer. (4)

Free Response Questions

Q.9 Pritam is throwing a fair 6-sided die, with faces numbered from 1 to 6. Shown below are the outcomes of his first 4 throws:

Pritam says, "The probability of getting a 6 in my next throw is higher than that of getting a different number on the die."

Is Pritam's statement true or false? Give a valid reason.

Answer. Writes that the statement is false.

Gives a valid reason. For example, when throwing a fair die, the probability of getting any one of the six numbers is the same.

Q.10 A pair of fair 6-sided dice with numbers 1-6 written on them are thrown.

What is the probability that the sum of the numbers shown on the pair of dice is greater than 1? Justify your answer.

Answer. Writes that all the possible sums on a pair of dice are greater than 1.

Finds the probability of the sum of the pair of dice being greater than 1 as 1.

Q.11 Joel has exactly six 2-rupee coins, five 10-rupee coins and three 20-rupee coins in his pocket. He goes to the stationery store and buys a pen for Rs 19. He takes out a coin from his pocket at random.

i) Find the probability that the coin will be sufficient to pay for the pen.
ii) Find the probability that he will be able to give exactly Rs 19 to the shopkeeper.

Show your work.

Answer. i) Identifies total number of outcomes as 6 + 5 + 3 = 14 and number of favourable outcomes as 3.

(Award full marks if the probability is found directly without writing step 1.)

ii) Writes that the probability that Joel will be able to give exactly Rs 19 to the 1 shopkeeper is 0.

Case Study

Answer the questions based on the given information.

Sahiba conducted a survey in her school for 150 students of Class 10. She asked the students two multiple choice questions, which were "What time do you go to sleep at night?" and "What is your favourite subject?". Each student could choose only one option from the choices given.

Sahiba tabulated the results from her survey as shown below

Q.12 If a student is randomly selected, what is the probability that they sleep after 11 PM and that their favourite subject is NOT Social Science?

Answer. Finds the probability that the randomly selected student goes to sleep after 11 PM

Q.13 If a student is randomly selected, what is the probability that they go to sleep after 10 PM?

Answer. Finds the probability that the randomly selected student goes to sleep after 10 PM as

Q.14 If a student is randomly selected, what is the probability that they go to sleep between 9 PM and 10 PM and that their favourite subject is Mathematics?

Answer. Finds the probability that the randomly selected student has their favourite subject

Q.15 If a student is randomly selected, what is the probability that their favourite subject is English?

Answer. If a student is randomly selected, what is the probability that they sleep before 10

👉 Read Also- CBSE Class 10 Half-Yearly/Mid Term 2024-25 : Most Important Questions with Answers; PDF Download (All Subjects)

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