Axiomatic Approach To Probability
Chapter Name : Probability |
Sub Topic Code : 104_11_16_04_05 |
Topic Name : Axiomatic Approach To Probability |
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Sub Topic Name : Probability Of Event 'Not A' |
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Introduction
Probability of event ‘not A’ refers to the chances of any event other than A occurring. It is denoted by A’. A’ is mutually exclusive to other events of the experiment.
Pre-Requisites:
Basics about chance, coin and card logics
Activity:
If getting 1 is event A, then A’ is getting any other number. Since there are 5 other numbers of the total 6 numbers. P(A’) = 5/6.
Real Life Question:
What is the probability of drawing a card from a deck that is not a king?
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 event as getting a ‘1’ we can associate all other sides as ‘non-1’. |
Real life uses :
Finding out the chances of obtaining a blood group other than a non-suitable one.
Practical examples around us
| Examples | Explainations |
|---|---|
| Drawing a card that is not a king from a deck | Since there exist 4 Kings, the chances of a non-king card is the number of remaining cards, which is 48/52. |
What you learn in Theory:
Probability of the event ‘not A’.
What you learn in Practice:
The probability of a event ‘not A’ is simply the chance of everything else other than A. P(not A) = 1 - P(A).