  We show that the multiplicity distribution of photons produced with enhanced
void probability in inelastic proton-proton collisions at $\sqrt{s} =$ 900 GeV,
2.76 TeV, and 7 TeV, measured at forward rapidities by the ALICE experiment at
LHC, can be described by the geometric Poisson distribution. The traditionally
used negative binomial distribution fails to reproduce the enhanced void
probability and the shape of the modified combinants simultaneously. Our
findings are relevant for the theoretical modeling of photon production
processes in high-energy hadronic collisions.
