Driving around a banked turn at a slow speed, your car will want to turn towards the low side. This is centripetal force at work.
So the banking will allow safer (or at least higher speed!) rounding of the bend, as part of its centripetal force generated is offset by the centripetal force generated by the bank angle. But that's not all.
The angle causes an increase in the "weight" down on the wheels, which improves the coefficient of static friction, so the car will not slide until a greater speed than it will slide at on an unbanked curve, as well as the centripetal acceleration caused by the bank angle subtracting from what the centripetal force would be, if the curve were unbanked.
It allows a vehicle to go faster into a curve. If a road is flat in a curve the centrifugal force of the vehicle would cause the it to fly off the road. The larger the angle of the bank the faster you can go.
Road turns are banked so that the total force on a moving vehicle remains perpendicular to the road surface, so they don't slide off the road in bad conditions.
Roads are convex (high in the middle) and have ditches beside them so that rain water does not pool on the road surface.
Civil engineers refer to road banking needed to counteract vehicle turning forces as superelevation. See the link below for an explanation of superelevation physics.
All roads are Cambered near to their common centre.
ie; similar to a Camels hump, extreme indication)
This helps to drain surface water away as much as possible and
helps the road dry out aiding better traction for vehicles tyre's.
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