We introduce two simple percolation models–Invasion Percolation and Bernoulli Percolation. Then we discuss an easily stated open problem common to both of them, which sounds like it should be straightforward to solve (and maybe it will turn out so). We then go on to present some open problems that occur when one has two copies of percolation and why they are of interest. This is because of their relation to spin glasses (such as occur in the work of Physics Nobelist Giorgio Parisi).