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Probability

Responses to Tasks

Walt: understand probability and model the possible outcomes.

Walt: create a link between statistics and our knowledge about fractions.

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NRich Task - Teddy Town

Complete this probability tree to explain the outcomes of the first task. Write a description. Create a screencast to explain your thinking in more detail.

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Task 2

Toby tossed a coin in the air. It could either land on heads or on tails. Complete this probability tree to explain the outcomes of Toby tossing the coin twice. Write a description. Create a screencast to explain your thinking in more detail.

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Answer the following questions:

  1. What fraction of the outcomes results in the coin landing on ‘tails’ twice?�
  2. What fraction of the outcomes results in the coin landing on ‘heads’ first?�
  3. What fraction of the outcomes results in the coin landing on ‘heads’ at some point?�
  4. If Toby threw the coin 4 times, in how many possible outcomes would the coin land on ‘heads’ first? Explain your thinking.�

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Play the three games with a friend. Answer the following question.

  1. What makes a game fair? What makes a game unfair?

Task adapted from NZ Curriculum Mathematics: Connecting all strands (Level 3A) - Tipler, M., & Timperley, S. (2015), p.344-345

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Paper Scissors Rock

Complete the probability tree to explain the outcomes of this game. Write a description. Create a screencast to explain your thinking in more detail.

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Task adapted from NZ Curriculum Mathematics: Connecting all strands (Level 3A) - Tipler, M., & Timperley, S. (2015).

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