Is there an intuitive meaning of $p - p^2$ If $p$ is the probability of an event occurring, does $p - p^2$ have an intuitive meaning?

Since $p-p^2=p(1-p)$ it is the probability of the event occurring multiplied by the probability of it not occurring. For example if $p$ is the probability of a coin coming up heads. Then $p(1-p)$ is the probability it comes up head then tail after two throws.
