Answer
a) Events A and B are independent events. Events A and C are dependent events.
b) Events A and B are non mutually exclusive events. Events A and C are mutually exclusive events. Events B and C are non mutually exclusive events
C) The complements of events A,B and C include any outcomes that do not belongs in these three events.
A' ={a, c, f, g, h, i, k}, B' ={b,d,e,g,h,i,k}, C'={a,b,d,e,f,h,i,j}
Work Step by Step
a) Events A and B are independent events because the occurrence of element J in event A does not change the probability of the occurrence of element J in event B. Events A and C are dependent events because the occurrence of event A will affect the probability of the occurrence of event C.
b) Events A and B are non mutually exclusive events because they contain the same element J. Events A and C are mutually exclusive because they do not contain any same elements. Events B and C are non mutually exclusive events because they contain the same element C.
