Define elementary event and compound event.
Define elementary event and compound event.
Elementary event: An event having only one outcome of the random experiment is called an elementary event.
For example in the experiment of tossing two coins, a sample space is S={HH, HT, TH, TT} There are four elementary events corresponding to this sample space. These are E1 = {HH}, E2 ={HT}, E3 = { TH} and E4 ={TT}.
Compound event: A collection of two or more elementary events associated with an experiment is called a compound event.
For example, in the experiment of ‘tossing a coin thrice’ the events
E: ‘Exactly one head appeared’
F: ‘Atleast one head appeared’
G: ‘Atmost one head appeared’ etc. are all compound events.
The subsets of S associated with these events are
E={HTT,THT,TTH}
F={HTT,THT, TTH, HHT, HTH, THH, HHH}
G= {TTT, THT, HTT, TTH}
Each of the above subsets contain more than one sample point, hence they are all compound events.
Elementary event: An event having only one outcome of the random experiment is called an elementary event.
For example in the experiment of tossing two coins, a sample space is S={HH, HT, TH, TT} There are four elementary events corresponding to this sample space. These are E1 = {HH}, E2 ={HT}, E3 = { TH} and E4 ={TT}.
Compound event: A collection of two or more elementary events associated with an experiment is called a compound event.
For example, in the experiment of ‘tossing a coin thrice’ the events
E: ‘Exactly one head appeared’
F: ‘Atleast one head appeared’
G: ‘Atmost one head appeared’ etc. are all compound events.
The subsets of S associated with these events are
E={HTT,THT,TTH}
F={HTT,THT, TTH, HHT, HTH, THH, HHH}
G= {TTT, THT, HTT, TTH}
Each of the above subsets contain more than one sample point, hence they are all compound events.
