The difference comes down to surface type and condition that those tires are made for.
On a completely smooth, dry surface, tires with no treads give the traction as you have a lot of surface area making contact with the road. However, when it is wet, or slippery, slick tires will hydroplane, and give no traction.
As opposed to road tires with treads. When on a dry, smooth road, regular tires have less grip because of reduce contact surface area. However, in wet, slippery, or snowy conditions, water and snow flow into the treads which will then flow into the tripes and ultimately directed to the side of the tires. Basically water surface tension is broken to allow more rubber that is not part of the treads to make contact with the road, giving traction.
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