Question 1191225
what are the events E and G in your case ?


Mutually Exclusive Events:

{{{A }}}and {{{B }}}are mutually exclusive events {{{if}}} they {{{cannot}}}{{{ occur}}} at the {{{same}}}{{{ time}}}. 

This means that{{{ A }}}and {{{B}}} do{{{ not}}} {{{share}}}{{{ any}}}{{{ outcomes}}} and {{{P}}}({{{A}}} AND {{{B}}}) = {{{0}}}.


For example, suppose the sample space S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. 
Let A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, and C = {7, 9}.

 {{{A}}} AND {{{B }}}= {4, 5}

 {{{P}}}({{{A}}} AND {{{B}}}) = {{{2/10}}} and is {{{not}}}{{{ equal}}} to {{{zero}}}. 

Therefore, {{{A}}} and {{{B}}} are {{{highlight(not)}}}{{{ mutually}}}{{{ exclusive}}}.


{{{ A}}} and {{{C}}} do {{{highlight(not)}}} {{{have}}} any numbers in common, so 

{{{P}}}({{{A}}} AND {{{C}}}) = {{{0}}}

 Therefore,{{{ A}}} and {{{C}}} {{{highlight(are)}}} {{{mutually}}}{{{ exclusive}}}.