/ Learner Resource /
School Name / Upper Coomera State College
Subject / Maths / Topic / Real numbers/ Chance / Year / 10
Description / Sample Pre-assessmentUnit 2
Instructions / Refer to ACARA achievement standards to ensure alignment.
Task designed by / Nichelle Bidner / Contact / Janelle Dickman 0467 777 965
Prior knowledge
In year 9 students have:
-Listed all outcomes for two-step chance experiments both with and without replacement (using tree diagrams)
-Assign probabilities to outcomes and determine probabilities for events.
-Calculate relative frequencies from given or collected data to estimate probabilities of events involving ‘and’ or ‘or’
What do the students need to be able to do for assessment task?
-Conduct an experimental trial
-Calculate experimental and theoretical probability (single and multi)
-Understand the concept of terminating
-List the sample space for multi-step probability
-Design a game target that satisfies conditions
-Justifies their decisions through appropriate mathematical calculations and thinking

Student Name / Class / Date

  1. Todd has just conducted an experiment to prove that when you roll two dice you will always get a total of 7 more than any other number.
Todd rolled two dice, added the numbers and recorded the number of times each total occurred. His results are shown on the right.
  1. List the sample space (all the possible options) for rolling two dice and having the total score add up to 7.
  1. Use the results of the table to calculate the experimental probability of rolling a total of 7.
  1. Use the results of the table to calculate the experimental probability of rolling a total of 12.
  1. The simple spinner has been designed for a game. The spinner has equal sections of blue, red and orange.
  1. What is the probability of spinning any one of the colours?

  1. How many different combinations of results are there if you were to spin it three times?(Hint: draw a tree diagram to help solve the problem)

  1. What is the probability of getting at least one blue when you spin it three times?

  1. Mary has designed a target game where to win the game you must spin a yellow three times in a row.
Do you feel Mary has designed the game too hard or too easy? Justify the answer by giving appropriate reasons.

  1. You have been asked to design a new target for an up and coming game. The new target must satisfy the following conditions:
  2. ‘a winning game’ is achieved by spinning the spinner three times and scoring 25 points
  3. Have at least 4 target zones
  4. The points for each zone is determined by you.

South East Region Learner Resource template V1 – Aug 2013