

IB Math AI SL 4.7 Worksheet: Discrete Random Variables and Expected Value
This worksheet gives IB Math AI SL students structured practice with discrete random variables and expected value. Questions build from classifying variables and defining probability mass functions to checking valid distributions, finding unknown constants and calculating expected values from tables.
Further problems apply expected value to games, insurance and other real-world situations. Students reason about expected gains, fairness conditions and multi-step probability models. Scaffolded and exam-style questions support both classroom practice and independent study, and a full answer key is included for checking and review.
Use alongside the lesson slides and the student and teacher notes.
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