Probability 3


Equally Likely Event

 

Events are equally likely if one event can occur as other ca

Example

 

In Tossing a coin head can occur as tail can

 

 

Not  Equally Likely Event

 

Events are not equally likely if one event cannot occur as other can

 


 

Example

A jar containing 10 white balls and 4 green balls the occurrence of white balls is not equal is green can

 

Independent Event

 

Event are said to be independent if the occurrence of one event does not effect the occurrence of the other event

 

Example 

Tossing two Coins

Rolling two Dies

 

Dependent event

 

Event are said to be dependent if the occurrence of one event  effect the occurrence of the other event

 

Example

A jar containing 10 white balls and 4 green balls we  get two balls from jar and we have to know the chance that two balls are White.

When we get one ball from jar and then get other another ball from jar with no replacement  getting first ball from jar with no replacement effect chance of second Ball.

 

Types of  probability

 

There are three approaches of probability these are

1. Classical approach

The classical approach to probability is to count the number of favorable outcomes, the number of total outcomes (outcomes are assumed to be mutually exclusive and equiprobable), and express the probability as a ratio of these two numbers. Here, "favorable" refers not to any subjective value given to the outcomes, but is rather the classical terminology used to indicate that an outcome belongs to a given event of interest. What is meant by this will be made clear by an example, and formalized with the introduction of axiomatic probability theory. We use this Approach When Events Are equally likely

The probability of an event (A) is Denoted ByP(A)  and Define By 

Example   

 

A spinner has 4 equal sectors colored yellow, blue, green and red. After spinning the spinner, what is the probability of landing on each color?

 

Probability of yellow, Blue, Green, and Red Will be

 



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