This article focuses on the estimation of population proportion when the study variable is sensitive in nature. Two implicit randomized response techniques are proposed where the unrelated trait can be chosen subjectively. In addition to unbiased estimation of population proportion and variance, an empirical study is conducted to inspect the relative efficiency facet of the proposed techniques. The cases of positive binomial and negative binomial sampling are also studied. The proposed techniques are exposed to be better at the job than the accustomed randomized response dealings in binomial sampling. Further, it is established that negative binomial sampling may result in more precise estimation of population proportion using the proposed techniques.