Practice Bayes’ Theorem - 4.2.6 | Chapter 4: Probability | ICSE Class 12 Mathematics
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4.2.6 - Bayes’ Theorem

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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define Prior Probability in your own words.

💡 Hint: Think about how we estimate events before any new information impacts our beliefs.

Question 2

Easy

What is meant by Posterior Probability?

💡 Hint: Relates to how our initial beliefs change with new data.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does Bayes' Theorem help to revise?

  • Historical beliefs
  • Conditional probabilities
  • Decisions without data

💡 Hint: Think about the importance of integrating new facts.

Question 2

True or False: Bayes' Theorem can only be applied in clinical research.

  • True
  • False

💡 Hint: Consider areas in which you make decisions based on probabilities.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In a rare disease, the probability of a test being positive given disease presence is 95%, but only 2% of the population has the disease. If tested positive, what is the probability actually having the disease?

💡 Hint: Be cautious of the prior probability being quite low compared to the false positives.

Question 2

Suppose there's an 85% chance of rain if clouds are present. The prior probability that it rains is 40%. If clouds appear, what is the probability of it raining?

💡 Hint: Consider how presence of clouds correlate with rainfall.

Challenge and get performance evaluation