True or false: total probability and Bayes
Read exercise and reference answers
- Questions
- Statement is true
- Yes
- Statement
- The denominator of Bayes' theorem is the total probability of A.
- Statement is true
- Yes
- Statement
- Total probability needs the events to partition the sample space.
- Statement is true
- No
- Statement
- Bayes' theorem gives P(A|Eᵢ) from P(Eᵢ|A).
- Statement is true
- Yes
- Statement
- Bayes' theorem gives P(Eᵢ|A) from P(A|Eᵢ).
- Statement is true
- No
- Statement
- A partition may include an event of zero probability.
How the two theorems relate. Source: syllabus Maths Part II, Ch 13 Probability.