Probability and Conditional Statements Quiz

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A mathematical statement that describes the likelihood of something happening (correct)
A number form of a probability density function
A conditional statement
A joint probability of many variables

The sum of the probabilities of all the interpretations of that sentence (correct)
The probability of the variable
The probability of other variables
The joint probability of many variables

<p>By summing the probabilities of all the interpretations of that sentence (C)</p> Signup and view all the answers

<p>Extremely expensive (D)</p> Signup and view all the answers

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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.