We report the first realization of a quantum degenerate mixture of bosonic$^{87}$Rb and fermionic $^{171}$Yb atoms in a hybrid optical dipole trap with atunable, species-dependent trapping potential. $^{87}$Rb is shown to be aviable refrigerant for the non-interacting $^{171}$Yb atoms, cooling up to $2.4\times 10^5$ $^{171}$Yb atoms to a temperature of $T/T_F = 0.16(2) $ whilesimultaneously forming a $^{87}$Rb BEC of $3.5 \times 10^5$ atoms. Furthermorewe demonstrate our ability to independently tailor the potentials for eachspecies, which paves the way for studying impurities immersed in a Bose gas.
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