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Systematic Listing and Product Rule Explained

Number • Structure and calculation

Key concepts

What you'll likely be quizzed about

  • Systematic listing entails identifying all possible outcomes of an event in an organized manner.
  • For example, when rolling two dice, listing all outcomes as pairs (1,1), (1,2), ..., (6,6) ensures comprehensive coverage.
  • This method is particularly useful in scenarios where outcomes expand exponentially, as it prevents omissions and ensures clarity.

Flashcards

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How is the product rule defined?

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The product rule states that if event A can occur in m ways and event B can occur in n ways, the events can occur together in m × n ways.

Key notes

Important points to keep in mind

List outcomes systematically to avoid errors.

Use the product rule for independent choices.

Check combinations for completeness before concluding.

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