All-season tires are designed to provide higher levels of snow traction than non-all-season tires. You have all-season tires if you find the letters “M+S” molded into the sidewall near the bead. These letters mean “Mud and Snow.”
Even the best all-season tires will not provide acceptable levels of traction if you drive too fast in snow [...]

Three main factors contribute to hydroplaning, or the loss of traction on wet roads:

Vehicle speed: As speed increases, wet traction is considerably reduced.
Water depth: The deeper the water, the sooner you will  lose traction, although even thin water layers can cause a loss of traction, even at low speeds.
Tire tread depth: As your tires become [...]