Your drive wheels may lose traction when accelerating from a stop, your turning wheels may lose traction in a turn causing the front end to "push" and instead of turning your tires will slide and the car will continue straight ahead.
Skidding during braking - resulting in the vehicle continuing straight forward even if the steering wheel is turned. Usually causes the driver to panic and forget that if the brake is released that steering control will be regained.
Anti lock brakes prevent this type of skid.
Loss of lateral (side to side) control. This is the result of simply going too fast for conditions and expecting the vehicle to handle the same as it does on normal pavement.
Frequently results in a condition commonly referred to as "The Interstate Highway Ditch Rollover", which is commonly accompanied by: Serious vehicle damage and Death!
On snowy or icy road you may have as little as 5% of the normal dry pavement traction. Slow way down and avoid any need to change direction or speed suddenly.