NCERT Solutions for Maths Chapter 14 Probability Class 10 - Free PDF Download
NCERT Solutions for Class 10 Maths Chapter 14 Probability
FAQs on NCERT Solutions for Class 10 Maths Chapter 14 Probability
1. What is probability according to the Class 10 Maths NCERT Solutions for Chapter 14?
Probability is the measure of how likely an event is to occur, expressed as a number between 0 and 1. According to the NCERT Class 10 Maths syllabus, it is defined as the ratio of the number of favourable outcomes to the total number of possible outcomes, for equally likely events in an experiment.
2. How do you calculate the probability of an event in NCERT Class 10 Chapter 14?
The probability of an event (E) is calculated as:
Probability of E = (Number of favourable outcomes) / (Total number of possible outcomes)
This method is used for experiments where all outcomes are equally likely, as specified in the NCERT Solutions for Class 10 Maths Chapter 14.
3. What are elementary events and how are they addressed in the Class 10 Probability chapter?
Elementary events are outcomes that cannot be further broken down and have only one possible outcome. In Class 10 Probability, each single outcome of an experiment is an elementary event. For example, getting a head when tossing a coin is an elementary event.
4. What is a sure event and what is its probability as per the NCERT Solutions?
A sure event is one that is certain to happen. According to the Class 10 Maths Probability chapter, the probability of a sure event is always 1.
5. Can the probability of an event be negative or greater than one?
No. As explained in NCERT Class 10 Solutions for Probability, the probability of any event cannot be negative or greater than one. It must always satisfy 0 ≤ P(E) ≤ 1.
6. What are complementary events and how are they represented?
Complementary events refer to two outcomes that together cover all possible results of an experiment (e.g., E and not E). Their probabilities add up to 1: P(E) + P(not E) = 1 (as covered in Class 10 Chapter 14 Maths).
7. How does the addition theorem of probability apply in Class 10 NCERT Solutions?
The addition theorem states that the probability of either of two mutually exclusive events occurring is the sum of their individual probabilities. That is, P(A or B) = P(A) + P(B), provided A and B cannot happen together. This is a key focus in Chapter 14 Probability for Class 10.
8. What types of real-world problems does Chapter 14 Probability help solve?
The chapter helps solve problems involving:
- Coin tosses
- Dice rolls
- Card draws
- Random selection of objects (like marbles, bulbs, or pens)
- Events in games of chance
9. Why is tossing a coin considered a fair way to decide between two teams?
Tossing a fair coin has two equally likely outcomes (heads and tails), making it an unbiased method for decision-making. Both participants have the same chance of winning, aligning with the concept of equally likely outcomes covered in Class 10 NCERT Probability solutions.
10. What common misconceptions should students avoid in solving NCERT Probability problems?
- Assuming outcomes are equally likely without verification. Carefully examine if each result truly has the same chance.
- Forgetting the range of probability (0 to 1). Probabilities outside this range are not valid.
- Confusing complementary events with mutually exclusive events. Complementary events cover all outcomes; mutually exclusive events do not overlap.
11. What is the significance of experimental probability in Class 10 Probability?
Experimental probability is based on observed outcomes from actual experiments. It is calculated as:
P(E) = (Number of times event E occurs) / (Total number of trials)
This approach is useful when theoretical calculation is difficult or not possible.
12. How is the concept of sample space used in Chapter 14 Probability?
The sample space is the set of all possible outcomes of an experiment. Accurate listing of the sample space is essential for calculating probabilities correctly, as emphasized in NCERT Class 10 Maths Probability exercises.
13. How does practicing NCERT Solutions for Probability benefit Class 10 students in exams?
Regular practice with NCERT Solutions for Probability Class 10 helps students:
- Understand concepts deeply
- Master stepwise solution techniques
- Recognize and correct common mistakes
- Boost confidence in applying probability to various scenarios
- Score better in board exams as per CBSE guidelines
14. How can you differentiate between theoretical and experimental probability in Class 10?
- Theoretical probability is calculated based on reasoning and the assumption of equally likely outcomes, without actual experiments.
- Experimental probability is determined by performing the experiment and recording outcomes.
15. What is the role of probability in day-to-day decision making as taught in NCERT Class 10 Maths?
Probability provides a framework for making informed decisions when outcomes are uncertain, such as in weather forecasts, choosing lottery numbers, or assessing risks in real life. Class 10 Chapter 14 demonstrates these applications to show practical value beyond theory.

















