Three separate papers are included in this report. The first describes a two-stage procedure for choosing from among several instructional programs the one which maximizes the probability of passing the test. The second gives the exact sample sizes required to determine whether a squared multiple correlation coefficient is above or below a known constant, rather than testing the null hypothesis. The results reported here also give a lower bound to the probability of making a correct decision when observations are available. The third paper proposes a rescaling of the Bayes risk. The motivation for this new coefficient was to provide an index that has a large value when the Bayes risk is small, and that has a value in the closed interval between zero and one. (Author/BW)