PROBABLITY FOR IIT JEE : Sample space and Sample Point: EPISODE 2

 

Sample space and Sample Point

 A set whose elements represent all possible outcomes of random experiments is called sample space and usually represented by S

An element of a sample space is called sample point

Consider the experiment of tossing a die , if we are interested in number that show on top face than sample point should be S =  {  1,2,3,4,5,6}

If we are interested only in whether is even or odd, then sample space is simply S= { even ,odd}

In a general it is desirable to use  a sample space that gives the maximum information concerning the outcomes of experiment

Suppose three items are selected at random from manufacturing process. each item is inspected and classified as defective or non-defective. the sample providing maximum information will

                         S=  {  NNN , NDN , DNN,NND,DDN,DND,NDD,DDD}

Second Sample Space Although   It Provides Less Information Might Be

S= {0,1,2,3}

Where The Elements Represent No Defectives, One Defective , Two Defectives , Or Three Defectives In Our   Random Selection Of Three Items