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.

Tipo Árvore de decisãoNorma Howard-Raiffa / CART-sklearn / taxonomyMecanismo schematex-decisiontreeAtualizado 24/09/2026

A solicitação

“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.”

Depois, tenteAdd the combined probability at each outcomeChange the die event to rolling a six

O que há neste desenho

Entenda as decisões por trás dele.

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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Perguntas frequentes

Dúvidas comuns

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.