Ages 12–14🧮 Mathematics23 verified questions on this shelf

Tree diagrams

Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the number of favourable outcomes divided by the total number of equally likely outcomes

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Question 1 of 3

A game uses a red six‑sided die and a blue six‑sided die, each showing the numbers 1–6. After rolling both dice once, what is the probability that the sum of the two numbers is 8? (Assume the dice are distinguishable and list all ordered outcomes.)

Question 2 of 3

Two standard six‑sided dice are rolled. What is the probability that the sum of the two dice equals 7?

Question 3 of 3

A student rolls two standard six‑sided dice. Using an organized list of all possible outcomes, what is the probability that the sum of the numbers on the dice is 7?

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