Geometry

Question Analysis  
This question involves using a tree diagram to calculate the probability of a combined event (having a meal with soda) that can occur through two paths: choosing pizza with soda or salad with soda.
The main focus is on identifying each path, calculating their individual probabilities, and applying the addition rule for mutually exclusive events.  

Key Concept Explanation  
When an event can happen via multiple independent paths in a tree diagram, the total probability is the sum of probabilities for each path.
Each path's probability is found by multiplying branch probabilities, and since the paths (pizza vs. salad) are mutually exclusive, their probabilities are added.  

Step-by-Step Solution  
1. Path 1: Pizza with Soda  
Probability of choosing pizza:  
Probability of choosing soda with pizza:  
Combined probability:  
2. Path 2: Salad with Soda  
Probability of choosing salad:  
Probability of choosing soda with salad:

Click "Show Answer" to reveal the answer and analysis