## Listing vs Counting vs Probability Rules

Summary

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

- Use formal algebraic rules for problems with algebraic expressions or involving simple inanimate objects like coins, cards, or dice.
- Listing is only effective for problems with very short lists of fewer than ten possibilities, and it's rarely the solution but can help initiate the problem-solving process.
- Counting techniques are best suited for problems involving selections from a set with specific restrictions.
- Considering the complement of what you're trying to find can simplify the calculation process, requiring creativity and outside-the-box thinking.
- Developing the skill to choose the appropriate technique is a right-brain, pattern-matching process that improves with practice and careful study of solution sets.

Chapters

00:08

Choosing the Right Technique

00:00

When to Use Formal Algebraic Rules

02:31

The Role of Listing in Problem Solving

03:57

Applying Counting Techniques

05:18

The Importance of Practice and Pattern Recognition