Event
Chapter Name : Probability |
Sub Topic Code : 104_11_16_03_04 |
Topic Name : Event |
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Sub Topic Name : Algebra Of Events |
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Introduction
While performing experiments, we may have multiple outcomes. Algebra of events help us to calculate the probability of multiple outcomes.
Pre-Requisites:
Idea about probability, sample space and occurrence of an event.
Real Life Question:
A single 6-sided die is rolled. What is the probability of rolling a 2 or a 5?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Complementary Event | The complement of any event A is the event [not A], i.e. the event that A does not occur. |
| The event ‘A or B’ | When the sets A and B are two events associated with a sample space, then ‘A ? B’ is the event ‘either A or B’. |
| The event ‘A and B’ | When the sets A and B are two events associated with a sample space, then ‘A ? B’ is the event ‘A and B’. |
| The event ‘A but not B’ | It is the event which is the set of all those elements in A but not in B. Mathematically, A – B = A ?B' |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Dice | A single 6-sided die is rolled. What is the probability of rolling a 3 or a 4? |
Real life uses :
Doctors use it to predict the chances that a operation for a certain disease/injury arising from different circumstances.
Practical examples around us
| Examples | Explainations |
|---|---|
| Match results | Algebra of events helps us to predict whether a team will win a game or it will be a draw. |
What you learn in Theory:
What are the complementary events, addition of events?
What you learn in Practice:
How to find the occurrence of a particular event from multiple events.