Axiomatic Approach To Probability
Chapter Name : Probability |
Sub Topic Code : 104_11_16_04_04 |
Topic Name : Axiomatic Approach To Probability |
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Sub Topic Name : Probability Of The Event 'A' Or 'B' |
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Introduction
The event ‘A or B’ is denoted as (A ? B). The probability of the event (A ? B) denotes the happening of either event A or B in the outcome.
Pre-Requisites:
Basics about chance, coin and card logics
Activity:
If 2 and 4 are favorable outcomes, chances are 2/6 because either one side would be a success. 1/6 + 1/6 = 2/6.
Real Life Question:
Can you maximize your chances of a favourable outcome by choosing more than one event?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Event | Outcome(s) of an experiment. |
| Mutually exclusive events | Events that cannot happen simultaneously have no outcome in common. |
| Sample space | All the possible outcomes make up the sample space. |
| P(A ? B) | Probability of an outcome from either event A or B. |
| P(A ?B) | Probability of the common outcomes of event A and B. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| A Die | By choosing more than one side to be a favorable outcome, one can understand the chance of an either-or event. |
Real life uses :
Choosing a combination of events with most chances to occur.
Practical examples around us
| Examples | Explainations |
|---|---|
| Drawing a card from a deck | Since 2 symbols are red and other 2 black. Obtaining a particular card of say red could be event of a Diamond or that of a Hearts. |
What you learn in Theory:
Probability of the event ‘A or B’.
What you learn in Practice:
The probability of a events A or B is associated with more or at least equal chances of a favorable outcome than alone A or B.