Conditional probability and independence

Strengthen conditional probability and independence through two-way tables, sequential experiments, and branching models. This precalculus practice quiz emphasizes how a condition changes the denominator and why reversing a conditional statement can change its value. Problems progress to multiplication rules, numerical independence checks, and complete branch calculations. Single-select and multiselect questions include detailed solutions and misconception analysis. Every model states its assumptions; conditioning on an event of probability zero is identified as undefined under the elementary ratio formula.