AP Statistics

Advanced Placement Statistics covering data analysis, probability, and statistical inference.

Basic Concepts

Understanding Probability

What's the Chance?

Probability measures how likely an event is to happen. It's a number between 0 (impossible) and 1 (certain). We use probability to make predictions about random events.

Rules of Probability

  • The probability of something happening: \( P(A) \)
  • The probability of something not happening: \( 1 - P(A) \)
  • If two events can't happen together: \( P(A \text{ or } B) = P(A) + P(B) \)

Real Life Examples

Probability helps in games, weather forecasting, and insurance.

  • Flipping a coin: Probability of heads is 0.5.
  • Rolling a die: Probability of getting a 4 is \( \frac{1}{6} \).

Why It Matters

Probability helps us plan, take risks wisely, and understand randomness in the world around us.

Examples

  • A weather app predicts a 30% chance of rain tomorrow.

  • A game designer uses probability to decide how often rare items appear.

In a Nutshell

Probability quantifies how likely events are to occur, helping us make smart predictions.