Would an LSD help in the snow

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Maybe a silly question. Both brother in law and i have fairly nippy RWD german cars without LSD which are both a bit useless in the snow - When they get stuck they both spin one wheel. Would an LSD help as I would assume they would prevent this and give more traction?

[urmm]

Thats a good trick snotrag. I do have a problem though. I have the stupid Mercedes 2 handbrake/footbrake nonsense. But i'm tempted to give it a go. As for the winter tyres, it was on my mind a couple of weeks back, but can i justify getting them because of a few days in a year (although i will not be outdone by little fwd hatches. Grrrrr)