The absence of confirmed planets within the habitable zone of late-type K-dwarfs (effective temperatures in the range 3800-4600 K) is potentially due to an observational bias. While missions like Kepler (and ground-based RV surveys like HARPS) have focused on Solar-like stars, other surveys like CARMENES, MEarth, TRAPPIST or SPECULOOS are focusing on the lowest mass potential planet hosts, M-dwarfs. However, K-dwarfs represent a unique opportunity in the astrobiological context. These stars are more quite in terms of extreme radiation than their lower-mass counterparts and have less activity RV noise than the G-dwarfs. Their habitable zones are neither too far to difficult planet detection (like G-dwarfs) nor too close to have the HZ planet tidally locked (like M-dwarfs). The KOBE experiment is a RV survey using the CARMENES instrument at Calar Alto observatory to monitor 50 late K's and proof this apparent observational gap. In this poster, we will present the first results of the survey.