[math] \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}[/math]

Let [math]\Omega = \{a,b,c\}[/math] be a sample space. Let [math]m(a) = 1/2[/math], [math]m(b) = 1/3[/math], and [math]m(c) = 1/6[/math]. Find the probabilities for all eight subsets of

[math]\Omega[/math].