First, government regulations require the wear bars to appear at 2/32nds of an inch (1.6mm) - No other value!
There are some recommendations out there that when tires reach 5/32nds, they have lost enough SNOW traction that they need to be removed.
These same recommendations say that when tires reach 4/32nds, enough WET traction has been lost that the tires need to be replaced.
They also say that when tires reach 2/32nds, tires shoulds should be replaced regardless. There are some locales where this is a regulation.