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Yes - as long as the tyres on the same axle have the same tread pattern.
While it is good to use tires with the same tread and sizes, it is possible to use tires with different tread patterns, though you should be careful as the performance of the two tires may be different, causing your car to be unbalanced, endangering your passengers.
Bald tyres are tyres where the tread has been worn of in use and if this is the case then the tyres are not same (and illegal) to use. There are tyres made without a tread (for racing cars), these are not called bald tyres, they are called "slicks" and instead of a tread the surface of the tyre is made to be sticky in use.
Assuming you're talking about the tyres... The tread on the tyres channels water away from the wheels - allowing the tyres to grip the road better than if the tyres were completely smooth.
Its so tyres have grip in the wet
The normal racing tyres are slick and have no tread. The intermediate tyre has a 2.5mm tread, and the full wet has a 5mm tread.
Slick tyres are tyres without tread. The tread is only there so that water can be pushed into it on a wet track. On a dry track no tread is needed and therefore you will get more contact with the road without it, allowing the cars to accelerate/brake/corner faster. Therefore slick tyres are used as they are faster in dry conditions.
Different treads yes all that needs to stay the same is the actual tire size such as 235/75/16*Although you will have better handling and the smoothest, safest driving if all four tyres are the same tread.
It is important to closely inspect the condition of the tyres. Looking for damage and splits, and to ensure the depth of the tyres' tread are legal or even better.
Either Tyre balance or shocks/springs. Check tyres are compatible tread patterns have no sidewall distortion or tread damage, have the static and dynamic balance cheched by a tyre centre. Check the shocks for wetness and the springs for damage. The tyre centre can do this.
the tyres could blow and you may lose controle of your car
No re-tread tyres can also bubble