A rubber composition comprising, based upon parts by weight per 100 parts by weight of rubber (phr): from 50 to 80 phr of a solution polymerization prepared styrene/butadiene rubber (S-SBR) terminally di-functionalized at one terminal end of the styrene/butadiene rubber with a combination of both alkoxysilane and either amine or thiol groups, wherein the S-SBR has a bound styrene content of: from 15 to 34 percent bound styrene units, or from 35 to 45 percent bound styrene units, and from 5 to 70 phr of an in-chain functionalized polybutadiene elastomer with a having a cis 1,4-isomeric content in a range of from 30 to 50 percent and a trans 1,4-isomeric content in a range of from 40 to 60 percent, which contains in-chain functionalization comprising from 0.2 to 1.5 weight percent functional groups bound in the polybutadiene polymer chain; wherein the in-chain functionalized polybutadiene elastomer comprises a copolymer of in-chain repeat units derived from: 1,3-butadiene monomer; and functionalized monomer in amount of from 0.2 to 1.5 weight percent of the 1,3-butadiene monomer having a structural formula: where R represents an alkyl group containing of from 1 to 10 carbon atoms or a hydrogen atom and where R 1 and R 2 are the same or different and represent a hydrogen atom, provided that both R 1 and R 2 cannot be hydrogen, or a moiety of formula or formula: where R 3 groups are the same or different and represent alkyl groups containing from of 1 to 10 carbon atoms, aryl groups, allyl groups or alkyloxy groups of the structural formula: -(CH 2) y -O-(CH 2) z -CH 2 where n, x, y and z represent integers ranging of from 1 to 10. from 50 to 80 phr of a solution polymerization prepared styrene/butadiene rubber (S-SBR) terminally di-functionalized at one terminal end of the styrene/butadiene rubber with a combination of both alkoxysilane and either amine or thiol groups, wherein the S-SBR has a bound styrene content of: from 15 to 34 percent bound styrene units, or from 35 to 45 percent bound styrene units, and from 15 to 34 percent bound styrene units, or from 35 to 45 percent bound styrene units, and from 5 to 70 phr of an in-chain functionalized polybutadiene elastomer with a having a cis 1,4-isomeric content in a range of from 30 to 50 percent and a trans 1,4-isomeric content in a range of from 40 to 60 percent, which contains in-chain functionalization comprising from 0.2 to 1.5 weight percent functional groups bound in the polybutadiene polymer chain; wherein the in-chain functionalized polybutadiene elastomer comprises a copolymer of in-chain repeat units derived from: 1,3-butadiene monomer; and functionalized monomer in amount of from 0.2 to 1.5 weight percent of the 1,3-butadiene monomer having a structural formula: where R represents an alkyl group containing of from 1 to 10 carbon atoms or a hydrogen atom and where R 1 and R 2 are the same or different and represent a hydrogen atom, provided that both R 1 and R 2 cannot be hydrogen, or a moiety of formula or formula: where R 3 groups are the same or different and represent alkyl groups containing from of 1 to 10 carbon atoms, aryl groups, allyl groups or alkyloxy groups of the structural formula: -(CH 2) y -O-(CH 2) z -CH 2 where n, x, y and z represent integers ranging of from 1 to 10. 1,3-butadiene monomer; and functionalized monomer in amount of from 0.2 to 1.5 weight percent of the 1,3-butadiene monomer having a structural formula: where R represents an alkyl group containing of from 1 to 10 carbon atoms or a hydrogen atom and where R 1 and R 2 are the same or different and represent a hydrogen atom, provided that both R 1 and R 2 cannot be hydrogen, or a moiety of formula or formula: where R 3 groups are the same or different and represent alkyl groups containing from of 1 to 10 carbon atoms, aryl groups, allyl groups or alkyloxy groups of the structural formula: -(CH 2) y -O-(CH 2) z -CH 2 where n, x, y and z represent integers ranging of from 1 to 10.