Coin and Die Probability Tree

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.

Type Arbre de décisionNorme Howard-Raiffa / CART-sklearn / taxonomyMoteur schematex-decisiontreeMis à jour 24/09/2026

La demande

“A probability tree for tossing a fair coin, then rolling a fair die: show Heads and Tails, then Even and Odd, with a probability of 0.5 on every chance branch.”

Essayez ensuiteAdd the combined probability at each outcomeChange the die event to rolling a six

Ce que contient ce dessin

Comprenez les décisions qui le sous-tendent.

01First event

Split the coin toss into Heads and Tails.

02Second event

Split each result into even and odd die rolls.

03Branch values

Keep the 0.5 probabilities visible.

Use for a short introduction to multiplying probabilities of independent events.

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FAQ

Questions fréquentes

What does each path represent?

One complete outcome of the coin toss and the die event.

How do I find a path probability?

Multiply the probabilities on the branches in that path.

Are the events independent?

Yes. The die result does not change the chance of the coin result.