The useful egg answer is a safe carry, not a guessed odds table
Start here when this is the exact player task you searched for. The route and reset notes below are practical; exact odds and a complete roster stay out until a stronger source is available.
For Steal an Egg eggs, the repeatable loop is: pick up an egg, carry it back to your Pen/base, hatch it, then use the result to fund the next Speed or route decision. A rare reset is only worth timing when you can finish the return safely.