Most laptop AC adapters are solid-state transformers that include a rectifier bridge and a filter. On the laptop side, the connector is usually a DC coaxial (the “barrel connector”) with just two contacts: positive and negative.
As a laptop is a Class II appliance, it is double-insulated, meaning it doesn't require grounding, as the chassis does the trick.
So, if you feel a tingling sensation when operating with your laptop, try unplugging it for a moment, and check again. If the sensation goes away, it surely means something is broken on your AC adapter, and you should replace it asap.