Friction Depends on Following Factors
Type of pavement (bitumine,earthen material or WBM)
Roughness of the pavement (textures)
Condition of the pavement (dry or wet , rough or smooth)
Condition of the tyre (new with good thread or old worn out thread)
Speed of vehicle
Extent of break application (full or partial)
Load & type of pressure
Temperature and tyre & pavement
HENCE
Old tyre friction on dry surface > New tyre on dry surface
Old tyre friction on wet surface < New tyre on wet surface
Hence new tyres are more dependable in adverse conditions then the old ones.