Probability of Red Cheat Sheet

Key Definitions

• Probability: Measure of the likelihood of an event occurring.

• Total Marbles: The sum of all marbles in a collection.

• Number of Red Marbles: Count of marbles that are red.

Important Concepts

Basic Probability

• Probability ranges from 0 (impossible event) to 1 (certain event).

• Calculated as the ratio of favorable outcomes to total outcomes.

Red Marble Probability

• Probability of drawing a red marble is determined by:

• Favorable outcomes: Number of red marbles.

• Total outcomes: Total number of marbles.

Key Formulas

• P(Red): Probability of drawing a red marble.

• Number of Red Marbles: Count of red marbles.

• Total Marbles: Total count of all marbles.

Common Mistakes to Avoid

Common Mistake: Forgetting to simplify the fraction for probability.

Memory Tricks

Tip: "R/T = P" — Remember "Red over Total equals Probability".

Key Diagrams

    Total Marbles
    +-------------+
    |             |
    |  Red Marbles| <-- Favorable Outcomes
    |             |
    +-------------+

Remember: Always ensure the total number of marbles includes all colors for accurate probability calculation.