It is possible that the scale of gravity, parameterized by the apparent Planck mass, may obtain different values within different universes in an encompassing multiverse. I discuss the range over which the Planck mass may scan while still satisfying anthropic constraints. Within these constraints, I then discuss the likelihood to observe our value of the Planck mass, and argue that here there may be another example of the runaway inflation problem discussed in recent literature. I also show that the window for the Planck mass significantly weakens the anthropic constraint upon the cosmological constant when both are allowed to vary over a landscape.