  Data analysis in HEP experiments often uses binned likelihood from data and
finite Monte Carlo sample. Statistical uncertainty of Monte Carlo sample has
been introduced in Frequentist Inference in some literatures, but they are not
suitable for Bayesian Inference. This technical note introduces the binned
likelihood with Monte Carlo statistical uncertainty in Bayesian Inference and
includes the derivation of it. It turns out that the results are similar to the
results in [1]. But this tech-note gives an alternate and more intuitive
derivation of the content
