Technically, for both cars and bicycles the fastest have thin tyres. The reason being thin tyres have less rolling friction, and this higher speeds can be achieved.
Take a look at the wheels of the world record beating cars like Thrust SSC or Bloodhound. They are very thin like a bicycle.
The fast cars you are thinking of are fast production cars, racing cars etc. These cars are not only built for top speed, but good acceleration. This requires a large contact area between the tyre and the road, as others have mentioned, to stop the tyre slipping under acceleration.
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