Coalitions and vote-trading probabilities exist as ways by which the political process reduces conflict and takes account of intensities of minority preferences. By creating matrices of voters and issues, all possible winning coalition patterns were specified and the probabilities within each case were calculated. A preference vector for each voter was determined by examining the probability of vote-trading within the matrix. It was determined that as the coalition pattern moves from strong dominance by one majority to a multiplicity of majorities, the probability of trading increases. Results can also be used to determine the effect of adding issues on vote-trading possibilities. (CP)