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Lesson Packs · Grade 12 · Mathematics

Conditional Probability and Bayes' Theorem

Students find conditional probabilities from two-way tables and with the formula, use the multiplication rule and tree diagrams, test whether two events are independent, and apply the law of total probability and Bayes' theorem to problems such as screening tests.

Unit 7 · Lesson 21 · Probability and Statistics

Preview

Conditional Probability and Bayes' Theorem — Slide 1
  • Conditional Probability and Bayes' Theorem — Slide 4
    Slide 4
  • Conditional Probability and Bayes' Theorem — Slide 7
    Slide 7
  • Conditional Probability and Bayes' Theorem — Slide 17
    Slide 17
  • Conditional Probability and Bayes' Theorem — Slide 18
    Slide 18
  • Conditional Probability and Bayes' Theorem — Worksheet, page 1
    Worksheet, page 1
  • Conditional Probability and Bayes' Theorem — Answer key, page 1
    Answer key, page 1

Learning objectives

  • Calculate conditional probabilities P(A|B) from two-way tables and from given probabilities.
  • Use the multiplication rule and tree diagrams, and test whether two events are independent.
  • Apply the law of total probability and Bayes' theorem to reverse a conditional probability.

What's inside

  • 38 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 10 worksheet questions (32 marks) with step-by-step solutions
  • Printable worksheet (3 pages) and a teacher answer key
  • Fully editable in PowerPoint, Google Slides, Keynote and Word

More lessons in this unit

Questions teachers ask

Can I edit the files?

Yes. The PowerPoint and the Word worksheet are fully editable, so you can change examples, add questions or adapt the design for your class.

How do I use the worksheet slides?

After the teaching slides, each worksheet question appears on its own slide. Let students try it first, then show the next slide and work through the solution together.

Is there an answer key?

Yes. The Word file ends with a teacher answer key that has the answer and a worked solution for every question. It is also included as a separate PDF.

Which languages are available?

Every Lesson Pack is made in 18 languages: English, Simplified Chinese, Hindi, Spanish, Arabic, French, Bengali, Portuguese, Indonesian, Urdu, Vietnamese, Albanian, Italian, German, Turkish, Malay, Greek and Traditional Chinese (Hong Kong).

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