**Listing vs Counting vs Probability Rules**

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Summary

The essence of tackling GRE probability questions lies in discerning which problem-solving technique to employ, be it listing, counting, or formal algebraic probability rules.

- Identify the use of formal algebraic rules by the presence of algebraic expressions or the use of specific terms like 'mutually exclusive' or 'independent'.
- Listing is most effective for problems with very short lists of fewer than ten possibilities, but it's rarely a complete solution technique on its own.
- Counting techniques are suited for problems involving selections from a set with restrictions, indicating a focus on the selection process rather than algebraic computation.
- Considering the complement of the desired outcome can simplify the calculation process, showcasing the need for creativity in problem-solving.
- Developing the right approach to probability problems is a pattern-matching process that improves with practice and careful study of solution sets.

Chapters

00:00

Choosing the Right Tool

01:03

When to Use Algebraic Rules

02:31

The Role of Listing in Problem Solving

03:57

Counting Techniques for Selection Problems

05:18

The Importance of Practice and Pattern Recognition