  Type IIb supernovae (SNe) present a unique opportunity for understanding the
progenitors of stripped-envelope (SE) SNe as the stellar progenitor of several
Type IIb SNe have been identified in pre-explosion images. In this paper, we
use Bayesian inference and a large grid of non-rotating solar-metallicity
single and binary stellar models to derive the associated probability
distributions of single and binary progenitors of the Type IIb SN 2016gkg using
existing observational constraints. We find that potential binary star
progenitors have smaller pre-SN hydrogen-envelope and helium-core masses than
potential single-star progenitors typically by 0.1 Msun and 2 Msun,
respectively. We find that, a binary companion, if present, is a main-sequence
or red-giant star. Apart from this, we do not find strong constraints on the
nature of the companion star. We demonstrate that the range of progenitor
helium-core mass inferred from observations could help improve constraints on
the progenitor. We find that the probability that the progenitor of SN 2016gkg
was a binary is 22% when we use constraints only on the progenitor luminosity
and effective temperature. Imposing the range of pre-SN progenitor
hydrogen-envelope mass and radius inferred from SN light-curves the probability
the progenitor is a binary increases to 44%. However, there is no clear
preference for a binary progenitor. This is in contrast to binaries being the
currently favored formation channel for Type IIb SNe. Our analysis demonstrates
the importance of statistical inference methods to constrain progenitor
channels.
