The invention relates to a tire having at least one component (e.g. tread) of a rubber composition comprised of an amine functionalized styrene/conjugated diene copolymer elastomer (e.g. styrene/butadiene and/or styrene/isoprene/butadiene copolymer elastomer) which contains reinforcement comprised of silanol functionalized particulate carbon black having silica domains covering a fraction of the carbon black surface together with an alkoxysilane polysulfide coupling agent. The silica domains on the carbon black surface contain hydroxyl groups (e.g. silanol groups) on their surfaces which are reactive with the alkoxysilane moiety of the coupling agent. The amine functionalized styrene/butadiene elastomer is an organic solution polymerization prepared elastomer which contains pendant and/or terminal amine groups as one or more of primary amine, secondary amine, tertiary amine, and/or heterocyclic amine groups. The amine functionalized elastomer may be tin coupled.