Geometry

Question Analysis
This question involves using a tree diagram to determine whether two events are independent.
The main focus is on understanding the concept of independent events and analyzing how the probabilities in the tree diagram relate to this concept.

Key Concept Explanation
Two events are independent if the occurrence of one event does not affect the probability of the occurrence of the other event.
In a tree diagram, if the probabilities of the second - stage events change based on the outcome of the first - stage event, the events are dependent.

Step - by - Step Solution
Observe the tree diagram.
When Team A wins the first match, the probability of Team B winning the second match is 1/3, and the probability of Team B losing is 2/3.
When Team A loses the first match, the probability of Team B winning the second match is 2/3, and t...