Government data show that 8% of adults are full-time college students and that 30% of adults are age 55 or 0lder. Nonetheless, we can't conclude that because (.08)(.30) = .024 or about 2.4% of adults are college students or older. Why not?

The book answer is that: Independence is not a reasonable assumption.

Independence is where one event will affect the outcome of the other. I cannot think of where this would occur in this case. Seems to me that the events are independent.

Can someone fix my thinking.