Practice Bayes’ Theorem (introductory) (10) - Probability - IB 10 Mathematics – Group 5, Statistics & Probability
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Bayes’ Theorem (Introductory)

Practice - Bayes’ Theorem (Introductory)

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does Bayes’ Theorem help us to do?

💡 Hint: Think about how new information affects our understanding.

Question 2 Easy

What is P(A|B) in Bayes’ Theorem?

💡 Hint: Focus on the conditional aspect of probabilities.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does P(A|B) represent in Bayes' Theorem?

A: Probability of B given A
B: Probability of A given B
C: Prior probability

💡 Hint: Review the definitions of conditional probabilities.

Question 2

True or False: Bayes' Theorem only applies when the events are independent.

True
False

💡 Hint: Think about how Bayes' theorem works to update beliefs.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A rare disease affects 0.1% of a population, and a test has a 99% true positive rate and a 5% false positive rate. If a person tests positive, what’s the probability they actually have the disease?

💡 Hint: Break down the probabilities defined by the test’s accuracy and prevalence.

Challenge 2 Hard

In a tech company, 70% of employees are developers. A developer has a 20% chance of supporting a new project idea. If you meet someone supporting the idea, what’s the probability they are a developer?

💡 Hint: Think about each group's contribution to the total probability of support.

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Reference links

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