Coin and die probability tree
This probability tree shows two independent events in sequence. The first split is a fair coin toss. Each of those branches then leads to whether a fair die roll is even or odd. Reading from left to right makes the possible outcomes explicit: Heads and even, Heads and odd, Tails and even, and Tails and odd. A probability tree is useful here because it keeps the conditional structure visible. To find the probability of a completed path, multiply the branch probabilities along that path. This small example is appropriate for a lesson, worksheet, or quick check of the multiplication rule.
Open it in the AI editor with a prompt pre-filled — keep what works, change what doesn't.
Scenario
Teaching independent events
Key decisions
- First event: Split the coin toss into Heads and Tails.
- Second event: Split each result into even and odd die rolls.
- Branch values: Keep the 0.5 probabilities visible.
When to reuse this
Use for a short introduction to multiplying probabilities of independent events.
Frequently asked questions
What does each path represent?
How do I find a path probability?
Are the events independent?
Tweak it with chat, export PNG/SVG, or fork it for your own use case.