A block copolymer of the formula [S-I-(I/B)]nX or [S-I-(I/B)-/B]nX or mixtures thereof wherein each S is independently a polymer block of an alkenyl arene; each I is a polymer block of isoprene; each B is a polymer block of butadiene and each (I/B) is a mixed random polymer block of isoprene and butadiene in a weight ratio I:B of from about 10:90 to about 90:10, n is an integer equal to or greater than 2, X is the residue of a coupling agent, and wherein the alkenyl arene content of the block copolymer represents a weight ratio of the alkenyl arene block to conjugated diene block of the total block copolymer and is in the range of from about 15 to about 35 wt %. Compositions for the manufacture of transparent, gel-free films, adhesives, fibers, injection molded articles, dipped goods, oil gels, and bitumen are also disclosed and comprise from about 3 to about 90 wt % of the claimed block copolymer and one or more components selected from thermoplastic resins, polyolefins, tackifying resins, end block resins, polystyrene, oils, engineering thermoplastics, fillers, and antioxidants.