A spinner is separated into five equal pieces as shown below Patrick spins the spinner nine times what is the theoretical probability that it stops on the brown sector on the last spin?

The theoretical probability of landing on the brown sector on any given spin is 1/5, since there are 5 equal sectors.

Since each spin is independent of the others, the probability of landing on the brown sector on the last spin is still 1/5.

Therefore, the theoretical probability that the spinner stops on the brown sector on the last spin is 1/5, or 0.2.