This chapter is concerned with implications of statistical methods for practical problems in Finance for millions of common people. After some introductory discussion of Financial terms we compare professional stock pickers with random choices. While probability distributions of portfolio returns,
f
(
r
), are important, they may be influenced by fundamental variables including momentum in prices, profitability of underlying business and many such criteria. We discuss statistical underpinnings of combinatorial fusion analysis (CFA) used by computer scientists for combining ‘ranks and scores’ associated with various criteria in our context. We evaluate which f(r) enjoys ‘stochastic dominance’ in a set of investment opportunities and show how to use ‘decision weights’ on dominating f(r) to individualize our evaluations allowing asymmetric attitudes towards losses versus gains.