What will a vehicle do when the right front tire has a blow out?

The car will pull to the right, and you will have to fight it. The severity of the pull depends on how fast you are going, and to a lesser extent on whether the car is front-wheel drive or not. Modern tires that use steel belts and "airless tubes" are not as violent when they rupture, and your chances of safely pulling over in the event of a blowout are very good.