
In this video, we will talk about the properties of empirical probability and theoretical probability and why it's necessary to learn the axiomatic approach to probability.
In this video, we will define the terms mentioned in the video title and also discuss a couple of examples related to them.
In this video, we will define events based on a typical experiment.
In this video, we will talk about the occurrence of an event. We'll also talk about Impossible events, Sure events, Simple events and compound events that are different types of events.
In this video, we will talk about complementary events. We'll also talk about some common concepts related to sets such as intersection, union, etc. that will be used in the next videos.
In this video, we'll do a quick review of the concept of functions and relations since it's going to be used in one the upcoming definitions.
In this video, we will use an example to show how to calculate the probability of an event using the axiomatic approach to probability.
In this video, we will use an example to show how to calculate the probability of an event using the axiomatic approach to probability.
Example 12 #1
Example 12 #2
Example 12 #3
Example 13
Example 13 #2
Exercise 1 and 2
Exercise 3 #1
Exercise 3 #2, Exercise 4
Exercises 5, 6, 7
Exercises 7, 8, 9, 10, 11, 12
Exercises 13, 14, 15, 16, 17, 18
Exercises 19 and 20
Exercise 21
Example 14 #1
Example 14 #2
Example 15 #1
Example 15 #2
Example 16
Example 17
Exercise 1
Exercise 2
Exercise 3 and 5
Exercise 6 and 7
Exercise 8 and 9
Exercise 10
In Basic High School mathematics, you'll come across three approaches to probability:
Empirical Probability
Statistical Probability (Classical Probability)
Axiomatic Approach to probability
This course teaches the axiomatic approach to probability by discussing the theory first and then using many useful typical example. In the end, you will be able to calculate the probability of almost any typical event, as long as it is not beyond the scope of this text.
This course is also a part of a road map that takes from the basics of mathematics (pre-algebra - class 6) all the way up to calculus (class 12) based on the Indian system of education (NCERT). The text used here will give you a sturdy and robust foundation in mathematics provided that the whole road map is studied from beginning to end. The road map is highly recommended if you are planning a career in science, mathematics or engineering.
To access the road map, please search for "Great IT Courses" on the internet. on the website, please read the page titled as, "Mathematics 6-12 Standard". The same page has also been linked from the second lecture of the course.
To locate this particular course in the road map, please go to the page related to "Class 11". This course is title as, "16. Probability".
Thank you!