Probability Given Three Ranges for Variables in an Equation

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In physics, I learned that the equation \begin{align*} |\textbf{R}| = \frac{Gm_{1}m_{2}}{r^{2}} \end{align*} is used to solve for the force of gravity between two different masses ($G$ = Newton's gravitational constant, $m_{1}$ = mass 1, $m_{2}$ = mass 2, $r$ = distance between objects).

Given a range for $m_{1}$, $m_{2}$, and $r$, how can I find the probability that once the variables are plugged into the equation, it will exceed a certain number? I found something about the probability of the union of three sets, but I don't know if this can be applied to my scenario.

Thanks for the help!