Mathematics - Probability Question with Solution | TestHub

Let $A$, $B$, $C$ be any three events in a sample space of a random experiment. Let the events $E_1=$ exactly one of $A,B$ occurs, $E_2=$ exactly one of $B,C$ occurs, $E_3=$ exactly one of $C,A$ occurs, $E_4=$ all of $A,B,C$ occur, and $E_5=$ at least one of $A,B,C$ occurs. If $P(E_1)=1/3$, $P(E_2)=1/3$, $P(E_3)=1/3$, $P(E_4)=1/9$, then $P(E_5)=$