Why are Airbus captain control sticks placed on the left when most people are right-handed?
The Airbus is actually configured the same as the vast majority of other General Aviation and Civil Aviation aircraft.

The key factor is that the throttle is almost always the middle - meaning that  as pilots get used to sitting in the left seat early on in their training, they become accustomed to using the throttle with their right hand and the control column in the left.

It's something of a misconception to think that pilots spend much, if any, time with both hands on the control column. The right hand is almost always somewhere else – configuring radios, squawks, navigation equipment, throttles and so on.

Watch this video of a Citation Jet – particularly during takeoff and landing.


                
            

The pilot on the left is using his control column in exactly the same way as he would on an Airbus. You'll note that when his right hand is on the control column, it doesn't become dominant – it's just a resting position.