Sample space diagrams

The Maths Habit Handout to print

Roll two dice and add the scores.
Which total comes up most often?

7

Sample space diagram
A grid that shows every possible outcome.

Spinners numbered 1 to 3 and 1 to 4 are spun. The scores are multiplied. Find the probability that the product is 6.

A coin is thrown and a spinner numbered 1 to 4 is spun. Find the probability of tails and an odd number.

Spinners numbered 1 to 3 and 1 to 4 are spun. The scores are added. Find the probability that the total is 5. 312

Two spinners numbered 1 to 4 are spun. The scores are multiplied. Find the probability that the product is 4. 316

Spinners numbered 1 to 3 and 1 to 4 are spun. The scores are added. Find the probability that the total is 5. 312

A spinner numbered 1 to 3 is spun and a dice is rolled. The scores are added. Find the probability that the total is 6. 318

Spinners numbered 1 to 3 and 1 to 4 are spun. The scores are added. Find the probability that the total is 5. 312

Spinners numbered 1 to 4 and 1 to 5 are spun. The scores are multiplied. Find the probability that the product is 12. 220

Spinners numbered 1 to 3 and 1 to 4 are spun. The scores are added. Find the probability that the total is 5. 312

A coin is thrown and a dice is rolled. Find the probability of heads and a number greater than 4. 212

Spinners numbered 1 to 3 and 1 to 4 are spun. The scores are added. Find the probability that the total is 5. 312

Spinners numbered 1 to 3 and 1 to 5 are spun. The scores are added. Find the probability that the total is less than 4. 315

Sample space diagrams worksheet, page 1

Sample space diagrams worksheet, page 2

Answer sheet

  1. Two dice are rolled and the scores are added. Which total is the most likely, and what is its probability?

    7, 636

  2. Two spinners numbered 1 to 3 are spun and the scores are added. Amy wins if the total is even. Ben wins if it is odd. Is the game fair?

    No: 59 and 49

  1. Two spinners numbered 1 to 4. The scores are added. Find P(total is 6).

    316

  2. A coin and a spinner numbered 1 to 5. Find P(heads and an even number).

    210 = 15

  3. A dice and a spinner numbered 1 to 3. The scores are multiplied. Find P(product more than 10).

    418 = 29
Exit tickets to print