If A,B independent events, prove that A^c,B are independent.

P(A^c∩B)=P(B-A)=P(B)-P(A∩B)=P(B)-P(A)P(B)=P(B)[1-P(A)]=P(B)P(A^c)

total answers (1)

start bookmarking useful questions and collections and save it into your own study-lists, login now to start creating your own collections.

P(A^c∩B)=P(B-A)=P(B)-P(A∩B)

need an explanation for this answer? contact us directly to get an explanation for this answer=P(B)-P(A)P(B)

=P(B)[1-P(A)]=P(B)P(A^c)