Class 9 Exam > Class 9 Notes > HOTS Questions: Probability
Class 10 Maths Chapter 14 HOTS Questions - Probability
1. A bag-I contains four cards numbered 1, 3, 5 and 7 respectively. Another bag-II contains three cards numbered 2, 4 and 6 respectively. A card is drawn at random from each bag. Find the probability that the sum of two cards drawn is 9.
All outcomes = 12 ⇒ |
2. A bag contains 7 white, 3 red and 4 black balls. A ball is drawn at random. Find the probability that it is a red or a black ball.
| Hint: Total number of possible outcomes = 7 + 3 + 4 = 14. Out of 14 possible outcomes, there are 7 favourable outcomes (3 red and 4 black) i.e. there are 7 balls that are either red or black. ∴ Required probability = P(a red or a black ball) = (7/14)= (1/2) |
3. In a single throw of two dice, find the probability of getting a total of 8.
∴ Favourable outcomes are : (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) i.e. 5 outcomes are favourable. |
4. One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a face card.
| Hint: 52 cards are divided into 4 suits of 13 cards each. Kings, queen and jacks are called face-cards. ∴ Total number of face cards = 3 × 4 = 12 ∴ Favourable outcomes = 12 ⇒ Required probability = (12/52)= (3/13) |
5. Two unbiased coins are tossed once. What is the probability of getting exactly one head?
| Hint: In a throw of two coins, the total number of possible outcomes = 22 = 4 [namely : (H, H), (H, T), (T, H) and (T, T)]. For the event of getting exactly one head (i.e. no tail). ⇒ Favourable outcomes are (H, T) and (T, H) i.e., 2 ⇒ Required probability = (2/4)= (1/2) |
FAQs on Class 10 Maths Chapter 14 HOTS Questions - Probability
| 1. What is probability and how is it related to mathematics? |  |
Ans. Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is used to quantify the uncertainty or randomness of an event. By using mathematical formulas and calculations, probability helps us understand the chances of an event happening and make informed decisions based on those probabilities.
| 2. How is probability calculated for an event? | |
Ans. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This is expressed as a fraction, decimal, or percentage. For example, if you want to calculate the probability of rolling a 6 on a fair six-sided die, there is only one favorable outcome (rolling a 6) out of six possible outcomes (numbers 1 to 6). Therefore, the probability would be 1/6 or approximately 0.167 (16.7%).
| 3. What is the difference between theoretical probability and experimental probability? | |
Ans. Theoretical probability is based on mathematical calculations and predictions. It is determined by analyzing the possible outcomes and their likelihood in a given situation. On the other hand, experimental probability is based on actual observations and data collected from conducting experiments or trials. It involves performing the event multiple times and recording the outcomes to determine the probability. Theoretical probability provides an expected value, while experimental probability provides an observed value based on real-world data.
| 4. How can probability be used in everyday life? | |
Ans. Probability has various applications in everyday life. It helps us make decisions by considering the likelihood of different outcomes. For example, when choosing between different routes to reach a destination, we can consider the probability of encountering heavy traffic on each route and choose the one with the lowest probability. Probability is also used in insurance, gambling, weather forecasting, sports predictions, and financial investments. It helps in understanding and managing risks and uncertainties.
| 5. What are the fundamental principles of probability? | |
Ans. The fundamental principles of probability include the addition rule, multiplication rule, and complement rule. The addition rule states that the probability of two mutually exclusive events occurring is the sum of their individual probabilities. The multiplication rule states that the probability of two independent events occurring together is the product of their individual probabilities. The complement rule states that the probability of an event not occurring is 1 minus the probability of the event occurring. These principles form the basis for calculating probabilities in various scenarios.
Related Exams
About this Document
|
4.63/5 Rating |
|
Nov 24, 2024 Last updated |
Document Description: HOTS Questions: Probability for Class 9 2024 is part of Class 9 preparation. The notes and questions for HOTS Questions: Probability have been prepared according to the Class 9 exam syllabus. Information about HOTS Questions: Probability covers topics like and HOTS Questions: Probability Example, for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for HOTS Questions: Probability.
Introduction of HOTS Questions: Probability in English is available as part of
our Class 9 preparation & HOTS Questions: Probability in Hindi for Class 9
courses. Download more important topics, notes, lectures and mock test series for Class 9
Exam by signing up for free. Class 9: Class 10 Maths Chapter 14 HOTS Questions - Probability
Description
Full syllabus notes, lecture & questions for Class 10 Maths Chapter 14 HOTS Questions - Probability - Class 9 | Plus excerises question with solution to help you revise complete syllabus | Best notes, free PDF download
Information about HOTS Questions: Probability
In this doc you can find the meaning of HOTS Questions: Probability defined & explained in the simplest way possible.
Besides explaining types of HOTS Questions: Probability theory,
EduRev gives you an ample number of questions to practice HOTS Questions: Probability tests, examples and also practice Class 9 tests.
Download as PDF
|
Explore Courses for Class 9 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Important questions
,Sample Paper
,practice quizzes
,study material
,video lectures
,Extra Questions
,mock tests for examination
,Class 10 Maths Chapter 14 HOTS Questions - Probability
,past year papers
,shortcuts and tricks
,Summary
,Semester Notes
,Class 10 Maths Chapter 14 HOTS Questions - Probability
,Viva Questions
,Free
,Class 10 Maths Chapter 14 HOTS Questions - Probability
,ppt
,Previous Year Questions with Solutions
,MCQs
,Exam
,Objective type Questions
;
Additional Information about HOTS Questions: Probability for Class 9 Preparation
HOTS Questions: Probability Free PDF Download
The HOTS Questions: Probability is an invaluable resource that delves deep into the core of the Class 9 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the HOTS Questions: Probability now and kickstart your journey towards success in the Class 9 exam.
Importance of HOTS Questions: Probability
The importance of HOTS Questions: Probability cannot be overstated, especially for Class 9 aspirants.
This document holds the key to success in the Class 9 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
HOTS Questions: Probability Notes
HOTS Questions: Probability Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to HOTS Questions: Probability.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, HOTS Questions: Probability Notes on EduRev are your ultimate resource for success.
HOTS Questions: Probability Class 9
The "HOTS Questions: Probability Class 9 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 9 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study HOTS Questions: Probability on the App
Students of Class 9 can study HOTS Questions: Probability alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the HOTS Questions: Probability,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of HOTS Questions: Probability is prepared as per the latest Class 9 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup