I have a serious problem adjusting the column widths of a table i created. What i tried to achieve is to split the last two combined columns ('transiton probabilites' and 'equilibrium distribution') equally between their subcolumns, i.e., 'p_j' and 'q_j' split the combined column 'transiton probabilites' equally, and so does '\pi_{bj}' and '\pi_{ij}'.
Any help would be deeply appreciated! Thanks in advance

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\begin{table}[!h]
\begin{center}
\caption{Markov channel parameter settings}
\begin{tabular}{
c|
S[tabnumalign=centre,tabformat=+1.2]|
S[tabnumalign=centre,tabformat=+1.2]|
S[tabnumalign=centre,tabformat=2]|
S[tabnumalign=centre,tabformat=2]
}
\toprule
\multirow{2}{*}{Channel $j$} & \multicolumn{2}{c}{Transition Probability} & \multicolumn{2}{c}{Equilibrium distribution}\\
\cmidrule(l){2-3}\cmidrule(l){4-5}
& $p_j$ & $q_j$ & $\pi_{bj}$ & $\pi_{ij}$\\
\midrule
1 & 0.1 & 0.4 & 0.2 & 0.8 \\
2 & 0.2 & 0.6 & 0.25 & 0.75 \\
3 & 0.3 & 0.7 & 0.3 & 0.7 \\
4 & 0.3 & 0.5 & 0.375 & 0.625 \\
5 & 0.35 & 0.65 & 0.35 & 0.65 \\
6 & 0.4 & 0.6 & 0.4 & 0.6 \\
7 & 0.6 & 0.6 & 0.5 & 0.5 \\
8 & 0.6 & 0.4 & 0.6 & 0.4 \\
\bottomrule
\end{tabular}
\label{tab:markovchapara}
\end{center}
\end{table}