Create a free account now and get 3 full lessons, completely free. Get my 3 free lessons

First Year maths · Y.3 · Compound events

Probability of rolling a sum with two dice

List the equally likely outcomes. Probability = favourable ÷ total, as a fraction in lowest terms.

Loading a question…

See worked examples
  1. Two fair 6-sided dice are rolled. What is the probability that the sum is at least 3? Write a fraction in lowest terms.

    Answer: 35/36

  2. Two fair 6-sided dice are rolled. What is the probability that the sum is at most 6? Write a fraction in lowest terms.

    Answer: 5/12

  3. Two fair 6-sided dice are rolled. What is the probability that the sum is at most 11? Write a fraction in lowest terms.

    Answer: 35/36

Tip: List the equally likely outcomes. Probability = favourable ÷ total, as a fraction in lowest terms.

Print a worksheet of this skill New questions and an answer key, free.

Up next

Print a free worksheet with answers (20 questions).

Learn it hands-on

Practise without limits

Members practise as much as they like, every day, and get the printable packs and lessons too.