Applications of Probability and Combinatoric

Site: Young Education
Cours: Probability and Combinatorics
Livre: Applications of Probability and Combinatoric
Imprimé par: Guest user
Date: vendredi, 25 septembre 2026, 03:22

1. Decision Making Under Uncertainty

Learning outcomes
  • I can apply expected value to decision making.
  • I can compare risks and rewards.
  • I can analyse uncertain outcomes.
  • I can evaluate alternative strategies.
  • I can justify decisions mathematically.

2. Games of Chance

Learning outcomes
  • I can analyse lotteries and gambling games.
  • I can calculate fair payouts.
  • I can determine house advantage.
  • I can evaluate gambling strategies mathematically.
  • I can interpret long-term expected outcomes.

3. Networks, Coding, and Cryptography

Learning outcomes
  • I can explain how combinatorics is used in coding theory.
  • I can describe applications in cryptography.
  • I can analyse simple network problems.
  • I can recognise the role of probability in computer science.
  • I can solve introductory combinatorial applications.

4. Probability in Science and Engineering

Learning outcomes
  • I can apply probability models in science.
  • I can analyse reliability problems.
  • I can model engineering systems.
  • I can interpret probabilistic data.
  • I can solve authentic STEM applications.

5. Comprehensive Problem Solving

Learning outcomes
  • I can solve complex multi-step probability and counting problems.
  • I can combine multiple combinatorial techniques.
  • I can select efficient solution strategies.
  • I can justify mathematical reasoning.
  • I can communicate complete mathematical solutions.