Numerical simulations of auto-igniting turbulent lifted jet diffusion flames of CH4/air fuel issued into a vitiated coflow of lean combustion products of H-2/air are performed using Reynolds-averaged Navier-Stokes (RANS) based stochastic multiple mapping conditioning (MMC) approach. A two-dimensional axisymmetric formulation is used to model the fluid flow, where the gas-phase turbulence terms are closed using the standard two-equation k-epsilon turbulence model with a modified set of constants. A reduced chemical mechanism ARM2 is used which consists of 19 species and 15 reactions derived from the GRI 3.0 mechanism. In MMC, the concept of mapping function is used, which approximates the cumulative probability distribution of the major scalar, namely mixture fraction for nonpremixed combustion. The corresponding variance of the major scalar is modelled by choosing a standard implementation of the major mixing time scale tau(phi) modelled in terms of the turbulent time scale as tau(phi) = tau(t)/C-phi. For all simulations reported herein, the same major mixing time constant C-phi = 3.0 is used. Additionally, in MMC, a minor mixing time scale r min is introduced which controls fluctuations of scalars relative to the major fluctuations via the minor mixing time constant, C-min. Three different values of C-min = (tau(min)/tau(phi)) = 0.25, 0.35 and 0.50 are used and the corresponding ratios of minor to turbulent time scales are tau(min)/tau(t) = 0.083, 0.116 and 0.166, respectively. The conditional and unconditional reactive scalar fields are found to be highly dependent on the choice of C-min and hence the ratio of the minor and major mixing time scales. The numerical results are thoroughly validated against the experimental measurements. The variation in lift-off height is found to be in good agreement with the experimental data for the entire range of coflow temperature for C-min = 0.25. Also, the predicted conditional and unconditional scalar fields from the present RANS-MMC model shows an excellent agreement with the experimental measurements. (C) 2019 The Combustion Institute. Published by Elsevier Inc. All rights reserved.