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Step 1
Preheat oven to 500°F (260°C).
Step 2
Mix together the butter, garlic, herbs, salt, and pepper in a bowl until evenly combined.
Step 3
Rub the herb butter all over the rib roast, then place on a roasting tray with a rack.
Step 4
Bake for 5 minutes per pound (10 minutes per kilo) of meat, so a 5-pound (2.2 kg) roast would bake for 25 minutes.
Step 5
Turn off the heat and let the rib roast sit in the oven for 2 hours, making sure you do not open the oven door or else the residual heat will escape.
Step 6
Once the 2 hours are up, remove the roast from the pan and pour the pan drippings into a saucepan over medium heat.
Step 7
Add the flour, whisking until there are no lumps, then add the beef stock, stirring and bringing the sauce to a boil.
Step 8
Remove from heat and strain the sauce into a gravy dish.
Step 9
Carve the prime rib into ¾-inch (20 mm) slices.
Step 10
Serve with the mashed potatoes, green beans, and sauce!
Step 11
Enjoy!