How trustworthy is a positive HIV test result? How probable is an actual infection when the test is positive? Even professionals often get such questions wrong, which can lead to misdiagnoses and unnecessary surgeries in practice. In a new study with medicine and law students, a team of mathematics education scholars from the Universities of Regensburg, Kassel, and Freiburg, Heidelberg University of Education, and LMU Munich has compared four different training courses designed to help students gain a better understanding of probabilities.