Practice Bayes’ Theorem (5.0) - Bayes’ Theorem - Mathematics - iii (Differential Calculus) - Vol 3

Practice: Bayes’ Theorem

Lesson 5.0Bayes’ Theorem

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9 questions

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4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the sample space?
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Think about all the outcomes of a dice roll.
Question 2.
What does P(A | B) represent?
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It's the probability of an event under certain conditions.
3Question 3.
What does the prior probability represent in Bayes' Theorem?
- Updated belief
- Initial belief
- Evidence
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Consider the beliefs you have before receiving new information.
4Question 4.
True or False: In Bayes' Theorem, the posterior probability is always greater than the prior probability.
- True
- False
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Reflect on the effect of evidence on beliefs.
Question 5.
A rare condition affects 0.5% of the population. A screening test identifies the condition with 98% sensitivity and 90% specificity. Calculate the probability of having the condition given that a person tests positive.
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Remember to first derive P(T) using total probability.
Question 6.
A bag contains 10 blue and 20 red balls. You draw a ball at random and it’s red. What is the probability that the next drawn ball is red if you replace it?
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Think about the events being independent due to replacement.

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