Binary fraction in 47 Tuc as a function of (projected) distance from the cluster center, in units of half light radii R_hl. The observed discovery fraction is shown in radial bins of 1000 stars (dark blue), with error bars representing uncertainties, calculated by varying the binary probability threshold 0.4 < P(χ²) < 0.6 and adding statistical noise in quadrature. The predicted binary fraction from the CMC simulation is shown as the orange dotted line. The grey dashed line represents a fitted power law, $f_{\text{bin}}\propto {\left(R{/}_{R_{hl}}\right)}^{\beta }$, with β = (−0.2 ± 0.07); shaded areas show the uncertainty intervals.