Studded snow tires

Good winter tires have softer rubber and do pretty well on ice without the studs. The studs actually reduce traction on wet and dry roads so in all I think the studs aren’t worth it. You should spend the money for the same winter tires on all 4 wheels. If you have ABS brakes mixing winter tires on the back and all season tires on the front is going to be dangerous. 4 non-studded winter tires is the best way to go.