Temperature-dependent inter-plane resistivity, ρc(T ), was measured in hole-doped iron-arsenide superconductor (Ba1−xKx)Fe2As2 over a doping range from parent compound to optimal doping Tc ≈ 38 K, 0 ≤ x ≤ 0.34. Measurements were undertaken on high-quality single crystals grown from FeAs flux. The coupled magnetic/structural transition at TSM leads to clear accelerated decrease of ρc(T ) on cooling in samples with Tc <26 K (x < 0.25). This decrease in hole-doped material is in notable contrast to an increase in ρc(T ) in the electron-doped Ba(Fe1−xCox)Fe 2As2 and isoelectron substituted BaFe2(As1−xPx)2. The TSM decreases very sharply with doping, dropping from Ts=71 K to zero on increase of Tc from approximately 25 to 27 K. The ρc(T ) becomes T -linear close to optimal doping. The broad crossover maximum in ρc(T ), found in the parent BaFe2As2 at around Tmax ∼200 K, shifts to higher temperature ∼250 K with doping x=0.34. The maximum shows clear correlation with the broad crossover feature found in the temperature-dependent inplane resistivity ρa(T ). The doping evolution of Tmax in (Ba1−xKx)Fe2As2 is in notable contrast with both rapid suppression of Tmax found in Ba(Fe1−xT Mx)2As2 (T M =Co,Rh,Ni,Pd) and its rapid increase BaFe2(As1−xPx)2. This observation suggest that pseudogap features are much stronger in hole-doped than in electron-doped iron-based superconductors, revealing significant electron-hole doping asymmetry similar to the cuprates.