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Mathematics: Statistics
Level indicator: Level 1 - Make probability comparisons using everyday language Level 2 - Make probability comparisons using everyday language Level 3i - Assign numerical probability values to simple events Level 3ii - Identify all possible outcomes of more complex events Level 4 - Use the possible outcomes to assign numerical probabilities Level 5 - Identify probabilities where listing outcomes is impractical

Probability

Use the possible outcomes to assign numerical probabilities

 Statistics probability progression
About the Exemplars
Progress indicators
What the work shows The learning context Where to next Curriculum links
What the work shows

The task

The teacher presented the students with a bucket containing two red balls and two blue balls. He asked them to determine the probability of getting two red balls if they randomly selected two balls from the bucket.

Images of student problem solving process

Angus's work shows that he is able to:

  • calculate the possible outcomes
  • use the possible outcomes to identify the probability of getting two red balls.

Images of student problem solving process

Kiri's work shows that she is able to:

  • find the possible outcomes using a tree diagram
  • use the possible outcomes to identify the probability of getting two red balls: "Two out of twelve are both red."

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