- Example 2.24 demonstrates that when outcomes are equally likely,
- computation of conditional probabilities can be based on intuition.
- When experiments are more complicated, though, intuition may fail us,
- so a general definition of conditional probability is needed that will yield intuitive answers in simple problems.
- The Venn diagram and Equation (2.2) suggest how to proceed.
conditional probability
For any two events and with , the conditional probability of given that has occurred is defined by P\left( {A \mid B}\right) = \frac{P\left( {A \cap B}\right) }{P\left( B\right) } \tag{2.3}