Axiomatic Approach To Probability
Chapter Name : Probability |
Sub Topic Code : 104_11_16_04_03 |
Topic Name : Axiomatic Approach To Probability |
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Sub Topic Name : Probabilities Of Equally Likely Outcomes |
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Introduction
When all outcomes have an equal probability of occurring, they are said to be equally likely. An unbiased coin is equally likely to fall showing heads or tails.
Pre-Requisites:
Basics about chance, coin and card logics
Activity:
Observe on paper heads or tails are equally likely, meaning there is ½ chance for any one side to show up.
Real Life Question:
Is using a coin a good way to decide between two indifferent options?
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. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Coin | Flipping a coin to record the result. |
Real life uses :
Using equally likely events to settle a draw.
Practical examples around us
| Examples | Explainations |
|---|---|
| Obtaining a head or a tail by tossing a coin is equally likely | Since there exists one side of heads and one side of tails, the chances are equal. |
What you learn in Theory:
Probability of equally likely events.
What you learn in Practice:
That some events have equally likely outcomes and one cannot predict favoring a particular outcome.