A Market Research Firm Is Investigating the Appeal of Three $\neq$

Multiple Choice

A market research firm is investigating the appeal of three package designs.The table below gives information obtained through a sample of 200 consumers.The three package designs are labelled A, B, and C.The consumers are classified according to age and package design preference. Are "B" and "25 or older" independent and why or why not?

A) No, because P (25 or over | B) $\neq$ P (B) .
B) Yes, because P (B) = P(C) .
C) No, because P (25 or older | B) $\neq$ P (25 or older) .
D) Yes, because P (25 or older $\cap$ B) $\neq$ 0.
E) No, because age and package design are different things.