That scrap of rubber is doing more work than your engine. Four small tire contact patches, together about the size of a sheet of paper, transmit every steering input, every brake command, every burst of acceleration. On that limited area, normal force from the vehicle mass meets friction coefficient, turning vertical load into horizontal grip.
The unsettling part is how close the system runs to the edge. Inflate a tire harder and the contact patch shrinks, raising pressure but cutting available shear force on rough asphalt. Under heavy braking, weight transfer loads the front tires, changing slip angle and deforming the tread blocks, so the real grip depends on rubber hysteresis and tread pattern more than most drivers imagine.
The popular myth is that wide tires automatically mean safety. Sometimes they mean floating. On wet pavement, water evacuation channels and contact pressure determine resistance to hydroplaning, the fluid dynamics event where a wedge of water lifts the tread off the surface. At that moment the paper sheet becomes a hovercraft skirt, and the ton of metal above it is suddenly a passenger.