“…Finally, I illustrate how researchers can use the logical model to answer many important questions in redistricting and voting rights cases (for other useful tools in redistricting, see e.g., Cho and Cain 2020;Gelman and King 1994;Kaufman, King, and Komisarchik Forthcoming;McGhee 2020). I demonstrate that the logical model can be used to (1) predict the probability of minority electoral success in various conditions (e.g., with different percentages of minority voters, levels of minority bloc voting and white crossover, and voter turnout), (2) compute how much increasing the percentage of minority voters in a district from A (e.g., less than 50) to B (e.g., over 50) changes the probability of minority electoral success (Hicks et al 2018), (3) discover what percentage of minority voters is "sufficient to provide [them] with a realistic opportunity to elect their candidates of choice" in given districts (Davidson and Grofman 1994, 5) with an electoral "sweet spot" (Lublin et al 2019), (4) quantify how much a given district may potentially dilute minority voting strength by "packing" minority voters (Bullock 2010;Gerken 2001), and (5) predict the number of minority officeholders at the jurisdiction level Lublin 2001, 1387). To facilitate future applications, I offer an easy-to-use R package logical that implements all the procedures discussed in this article and Appendix C.…”