Why doesn't solvent form the major product in SN1 reactions?

If in a reaction SN1 pathway is followed then after the formation of carbocation the reagent or the solvent molecule can attack to form the product. As the number of solvent molecules are significantly higher than the reagent molecules the solvolysis product should be the major one, but then why is the reagent substitution product given as the major one?


Is is just because we have to 'use' the reagent since it is given to us?


