Probability

AP Statistics - Designing Simulations with Random Numbers

Learn how to estimate probabilities using simulations with random numbers. Covers the three-step method: assigning digits, defining trials, and running experiments.

AP Statistics - Interpreting Simulation Results

Learn how to use simulations to estimate probability, including reading dot plots and understanding how trial size affects accuracy. Example: basketball free throw probability.

AP Statistics - The Addition Rule: P(A or B)

Learn the addition rule in probability: how to find P(A or B) by adding probabilities and subtracting the overlap to avoid double-counting.

AP Statistics - Addition Rule with Two-Way Tables and Venn Diagrams

Learn the addition rule for probability using a survey of 200 students. Discover how to avoid double counting when events overlap by subtracting the intersection.

AP Statistics - Conditional Probability and Independence

Learn conditional probability for AP Statistics: P(A|B) formula, two-way tables, independence testing, and real-world examples with step-by-step solutions.

AP Statistics - Tree Diagrams and Bayes' Theorem

Learn why a 99% accurate medical test doesn't mean a positive result gives 99% certainty. Explores Bayes' Theorem using a tree diagram to calculate true probability.

AP Statistics - Calculating Conditional Probability Step by Step

Learn how to calculate conditional probability using a two-way table with a real example about student athletes and GPAs.

AP Statistics - The General Multiplication Rule

Learn the general multiplication rule for probability with independent and dependent events, using examples like coin flips and drawing cards from a deck.

AP Statistics - Multiplication Rule: Independent and Dependent Events

Learn the multiplication rule for probability with independent vs dependent events, using coin flips, dice rolls, and card drawing examples to show when to adjust probabilities.

AP Statistics - The Complement Rule: 'At Least One' Probability

Learn the complement rule shortcut for "at least one" probability problems. Instead of adding many cases, find the probability of none and subtract from 1.

AP Statistics - Solving 'At Least One' Probability Problems

Learn how to calculate the probability of getting into at least one college using the complement rule. Applies to 5 schools with 30% acceptance rates.