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Probability For Class 10

Last updated date: 29th Feb 2024
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Probability Class 10 Notes

Get ready to increase your Maths board exam score with Vedantu’s probability class 10 notes. You can use the expert solutions given at Vedantu in order to learn how you would find the number of colored balls in a bag and much more? Or after understanding the concept of probability, you can also prove that a given event will be an impossible event.

So, let us understand how to use the probability formula with which you can find answers based on the information about the number of favorable outcomes along with the total number of outcomes. 

NCERT Class 10 Probability Revision Notes At Vedantu

Revise your probability concepts to improve your exam score with our NCERT class 10 probability topic notes and other resources.

Probability Class 10 Important Questions PDF

This PDF on Probability Problems for Class 10 CBSE is created as per the latest syllabus. Here in the following downloadable PDF, we have covered everything related to Probability Class 10. Also, there are solved step-by-step examples which you can have a look at for your better understanding. So, with our probability class 10 important questions PDF, you can have a clear idea of the topic and should be able to get high marks in Class 10 Mathematics CBSE Board exams.

Formula for Solving Probability Problems for Class 10 CBSE 

In the general formula of probability:

  •  P(A) means 'the probability of A' where A is an event we are interested in,

  • P(A|B) stands for 'the probability of A given that B occurs', and

  •  P( A0) stands for 'the probability of A0 ', or it tells about 'the probability that A does not take place.’

The Rules  Of Probability

Probability has its own set of rules that are used in solving both simple and complex probability problems. So, here are three most widely used rules of probability.

Rule 1: The Addition rule

Rule 2: The Multiplication rule

Rule 3: The Complement rule

1. The Addition Rule

The representation for this rule is as follows:

P(A or B) = P(A) + P(B) - P(A and B)

If there are two events A and B which are mutually exclusive of each other or the two events which can’t take place together, then the third term is 0. That means, the rule can then be reduced to:

P(A or B) = P(A) + P(B)

2. The Multiplication Rule

The formula for this rule is:

P(A and B) = P(B) * P(A | B) or P(A) * P(B|A)

In this rule, both the events A and B are independent events. The formula can also be reduced to P(A and B) = P(A) * P(B). However, this rule states that each event out of these 2 events is not affected by the outcome of the other event.

Consider the coin toss. If the first result came as a head then also there is no guarantee that in the next toss the result will be tails. So, the probability is 0.25 or 25% that it can be heads again or tails. Are you wondering how it's 25%? Let's have a look at the calculations.

P = P(heads) * P(tails) = (0.5) * (0.5) = 0.25

3. The Complement Rule

Here is its representation…

P(not A) = 1 - P(A)

Here, the two events, A and B can never take place together but one event out of these two will always take place. For instance, if the weatherman says that there’s a 40% chance of rain tomorrow then the chances of no rain are

40% = 0.4

P(no rain) = 1 - P(rain) = 1 - 0.4 = 0.6/ 60%.

FAQs on Probability For Class 10

1. What is the basic definition of probability included in NCERT Class 10 Probability?

In the simplest form, a probability is a number that is used to reflect the chances of a particular event to happen. It can be expressed in proportions that range between 0 - 1. Moreover, these can also be expressed in percentages ranging from 0 to 100%.

2. What does 0 indicate in Probability?

In probability, 0 indicates that an event will never happen whereas 1 indicates that an event will definitely take place. In the same way, if a probability is 0.46 or 46% then, it indicates that there are 46 chances that the event will take place out of 100 events occurring.

3. How do we calculate Probability?

There are several ways in which you can visualize probability, but the easiest and the fastest way is the fraction method. In this method, you change the terms into a fraction by simply dividing the number of desirable outcomes by the total number of possible outcomes. And, the result would always be a number between 0 and 1.

4. What will be an example of Probability?

Let’s take an example of rolling an odd number on a 6-sided die i.e., what will be the probability of an odd number?

As we all know out of the six numbers in on the die, there are three odd numbers i.e., 1, 3 and 5. Hence, the chances of the die which will be landing an odd number are 3/6 or you can say 0.5, Right? So, this is the most general form of probability and the similar formula can be used to calculate difficult equations.