Practice Bayes’ Theorem - 4.3.6 | Chapter 4: Probability | ICSE Class 12 Mathematics
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4.3.6 - Bayes’ Theorem

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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does Bayes' Theorem help you update?

💡 Hint: Think about how new information affects your predictions.

Question 2

Easy

Define prior probability.

💡 Hint: What was your initial belief before learning new information?

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 allow us to do?

  • Predict future outcomes
  • Update probabilities
  • Calculate averages

💡 Hint: Consider what this theorem is used for in real-life situations.

Question 2

True or False: The prior probability is adjusted after receiving new evidence.

  • True
  • False

💡 Hint: Recall what prior means and when it is set.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In a study, a certain disease has a prevalence of 2% in the population. If a test for the disease has a true positive rate of 85% and a false positive rate of 10%, calculate the probability that a person who tests positive actually has the disease.

💡 Hint: Break it down step-by-step and remember to calculate overall testing probability.

Question 2

A new drug shows a positive effect in 90% of patients with a certain condition, but only in 5% of healthy patients. If 10% of the population has the condition, calculate the probability that someone who responds positively to the drug actually has the condition.

💡 Hint: Ensure to track the overall probability via the entire population.

Challenge and get performance evaluation