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Questions and Answers
What is a probability?
What is needed to calculate the a posteriori probability of a given variable?
What is the probability of a sentence being true?
How can we calculate the probability of a sentence being true?
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How computationally expensive is it to calculate the probability of a sentence being true?
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Study Notes
- A probability is a mathematical statement that describes the likelihood of something happening.
- A probability can be written in a number form, called a probability density function, which describes the likelihood of different outcomes.
- A probability is always conditional on what we know about the world.
- To calculate the a posteriori probability of a given variable, we need to know how that variable is influenced by other variables.
- In the general case, calculating the joint probability of many variables can be a huge task. However, in the special case of propositional logic, we can calculate the probability of a given sentence being true or false.
- The probability of a sentence being true is the sum of the probabilities of all the interpretations of that sentence, in which that sentence is necessarily true.
- This approach is computationally expensive.
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Description
Test your knowledge of probability and conditional statements with this quiz. Explore concepts such as probability density functions, a posteriori probability, and joint probability calculations. Learn about the computational complexity of calculating probabilities in propositional logic.
