Tree Diagrams and Complex Probability Problems
This page introduces tree diagrams as a tool for solving probability problems involving sequential events.
Definition: A tree diagram is a visual representation of events happening in succession, useful for calculating probabilities of multiple outcomes.
The page provides examples of using tree diagrams to solve complex probability problems.
Example: A problem involves calculating the probability of Charlie being late to school, given the probabilities of him taking the bus or walking, and the associated probabilities of being late for each mode of transportation.
Another example demonstrates the use of tree diagrams for a biased coin tossed three times.
Highlight: The page emphasizes the versatility of tree diagrams in solving multi-step probability problems, particularly those involving conditional probabilities.
Example: A probability of rolling two dice and getting a sum of 7 could be calculated using a tree diagram, showing all possible combinations of dice rolls that result in a sum of 7.
The page concludes with practice problems that combine concepts from previous sections, reinforcing the importance of mastering various probability calculation methods.