Counting Outcomes (AQA GCSE Maths): Flashcards

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Counting outcomes
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First step in probability questions

Identify all possible outcomes

Sample space diagram

Displays every possible outcome from a probability experiment

When to use two-way tables

When dealing with two or more activities happening together

Product rule for counting outcomes

Multiply the number of ways for each activity together

When to use the product rule

When listing all outcomes becomes impractical or too large

Type of activities for product rule

Independent activities

Total outcomes rolling four six-sided dice

6×6×6×6=12966 \times 6 \times 6 \times 6 = 1296

Total outcomes tossing three coins

2×2×2=82 \times 2 \times 2 = 8

What to count for probability calculations

Each individual outcome, not just different totals

When sample space diagrams work best

When you can easily draw or list all outcomes

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