PROBABILITY

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.

UPDATED 2026-09-24
EXAMPLECoin and die probability tree
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CASE ANALYSIS

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.

FAQ

Frequently asked questions

What does each path represent?01
One complete outcome of the coin toss and the die event.
How do I find a path probability?02
Multiply the probabilities on the branches in that path.
Are the events independent?03
Yes. The die result does not change the chance of the coin result.
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