Practice Bayes’ Theorem (4.3.6) - Probability - ICSE 12 Mathematics

Practice: Bayes’ Theorem

Lesson 4.3.6Probability

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9 questions

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6 sample questions

Question 1.
What does Bayes' Theorem help you update?
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Think about how new information affects your predictions.
Question 2.
Define prior probability.
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What was your initial belief before learning new information?
3Question 3.
What does Bayes' Theorem allow us to do?
- Predict future outcomes
- Update probabilities
- Calculate averages
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Consider what this theorem is used for in real-life situations.
4Question 4.
True or False: The prior probability is adjusted after receiving new evidence.
- True
- False
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Recall what prior means and when it is set.
Question 5.
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.
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Break it down step-by-step and remember to calculate overall testing probability.
Question 6.
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.
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Ensure to track the overall probability via the entire population.

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