Conditional probability

Slides for “Conditional probability”

Controll questions

1. How is conditional probability \(P(A|B)\) defined, and what assumption must hold for it to be valid?
2. When we condition on an event \(B\), how does the sample space change? Use the dice example to explain.
3. Explain why the formula for conditional probability divides the probability of \(A\cap B\) by the probability of \(B\).
4. If a die roll is known to be odd, what is the probability of rolling a 5?
5. How does the concept of conditional probability apply to real-world scenarios, such as predicting outcomes based on partial information? Provide an example.