Trees & Dependence

When one draw changes the next

An interactive lesson with 7 steps, about 6 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

• Multiply along branches of a tree; add across branches.
• Without replacement, each draw changes the next probabilities.
• Independent events satisfy $P(A \text{ and } B) = P(A)\,P(B)$.

Steps

1. Tree diagrams
2. Both red
3. One of each
4. Draw and check
5. The sock drawer
6. Independent?
7. At least one ace