Game creation software are getting more and more accessible. For the researcher who is already familiar with programming, such software doesn't take very long to use. The main advantage of using software like Unity is that have physics engines in them. Here's a demo of a Plinko board with realistic physics. We see that, indeed, ball drops form a Gaussian distribution in where they land.

Unity Web Player | PlinkoPhysics

Unity Web Player | PlinkoPhysics