Let A, B, C be any three events in a sample space of a random experiment. Let the events E1= exactly one of A, B occurs, E2= exactly one of B, C occurs, E3= exactly one of C, A occurs, E4 = all of A, B, C occurs, E5= atleast one of A, B, C occurs. P(E1)=P(E2)=P(E3)=13, P(E4)=19 then P(E5)=

Let A, B, C be any three events in a sample space of a random experime

1.	Let A, B, C be any three events in a sample space of a random experiment. Let the events E1= exactly one of A, B occurs, E2= exactly one of B, C occurs, E3= exactly one of C, A occurs, E4 = all of A, B, C occurs, E5= atleast one of A, B, C occurs. P(E1)=P(E2)=P(E3)=13, P(E4)=19 then P(E5)=
Answer» 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 occurs, $E_{5} =$ atleast one of A, B, C occurs. $P (E_{1}) = P (E_{2}) = P (E_{3}) = \frac{1}{3}, P (E_{4}) = \frac{1}{9} then P (E_{5}) =$