Practice Bayes’ Theorem (4.2.6) - Probability - ICSE 12 Mathematics

Practice: Bayes’ Theorem

Lesson 4.2.6Probability

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8 questions

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6 sample questions

Question 1.
Define Prior Probability in your own words.
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Think about how we estimate events before any new information impacts our beliefs.
Question 2.
What is meant by Posterior Probability?
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Relates to how our initial beliefs change with new data.
3Question 3.
What does Bayes' Theorem help to revise?
- Historical beliefs
- Conditional probabilities
- Decisions without data
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Think about the importance of integrating new facts.
4Question 4.
True or False: Bayes' Theorem can only be applied in clinical research.
- True
- False
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Consider areas in which you make decisions based on probabilities.
Question 5.
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?
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Be cautious of the prior probability being quite low compared to the false positives.
Question 6.
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?
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Consider how presence of clouds correlate with rainfall.

4 more questions in this section. Enroll free to practise them all.