What to understand in Introduction to Probability
Simple chance and outcomes. The goal is to understand the underlying relationship, recognise the type of problem or concept, and explain each step rather than memorising an isolated answer.
PCDS study method
- Recall prerequisite ideas and definitions.
- Study one visual or real-life representation of the concept.
- Work through a model example with reasoning shown.
- Solve a similar problem independently.
- Review the exact error and retry without looking at the solution.
Original worked example
A fair coin is tossed once. Probability of heads?
Step 1: Two equally likely outcomes
Step 2: One favourable outcome
Step 3: P=1/2
Answer: 1/2
What an expert tutor should check
A good tutor should verify whether the student can explain the method in their own words, apply it to a changed question, and identify common traps—not merely copy the worked steps.