If you are using frozen peas, run them under cold water to defrost.
Cut the bacon into 4-5mm (¼") cubes.
Place the cubed bacon into a 24cm or 10" frying pan over a medium heat and render down the fat and cook until golden (7-10 minutes).
Place the eggs and egg yolk into a mixing bowl with freshly ground black pepper and the Parmesan cheese and mix together and set aside.
Bring a 20cm or 8" saucepan of generously salted water to a boil (I use 1½ teaspoons of salt in a pan this size) and cook your pasta for 1 minute less than the instructions on the packet indicate.
Drop the peas in with the pasta for the last 60 seconds of cooking. Drain the pan, reserving around 75ml (⅓ Cup) of the cooking liquid.
Add the bacon to the carbonara sauce and stir.
Add the peas and pasta to the carbonara sauce, and stir until thoroughly combined, then serve immediately.