Likelihood ratios are developed for a series of common situations involving people whose genotype is known and who are believed to have contributed to the profile under the stated explanation. The interpretation of mixed stains is straightforward in the likelihood ratio context. Alternative explanations for mixed strain profiles need to be specified and then compared on the basis of probabilities of the profile. When there are only two explanations for an item of evidence, the likelihood ratio is separate from prior probabilities. The general form of the Bayes' theorem, however, means that priors and likelihoods become intermixed in the same expression. Prosecution and defense may have different interpretations of numbers, but there should be as little disagreement on which numbers to present as there is for stains from single contributors. The mathematical analysis covers likelihood ratios in the context of conditional probabilities, the ethnicity of unknown people, population substructures, and effects of relatives. Detailed mathematical formulations are appended. 9 references
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