$E_{\mathcal{P},\mathcal{S}}\left[C_{\mathrm{frac}}\left(A,B\right)\right]={\left(1-p\right)}^k$ across different mutation rates and k-mer sizes. Darker cells indicate a smaller value. The expected containment decreases with a larger mutation rate and a larger k-mer size. This ideal case indicates that even a scale factor of s = 1 will be insufficient for large enough k sizes and P values.