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Students predict whether two dice games are fair and give their reasons. They then play each game (investigate) fifty times and explain their results.

Students work out and count the different meal combinations available as shown in a tree diagram.

Pairs of students play a game with four dice, calculate the probability of winning the game, comment on how to get a more accurate estimate of the probability, and explain whether the game is fair based on their results.

Students construct a spinner and use it to investigate predictions of the probability of outcomes. Findings are recorded in a student designed table.

Students show probabilities by shading a spinner.

Students carry out an investigation to determine the frequency and percentage of different numbers resulting from 100 dice throws. They construct a table to record the results.

This task requires students to interpret a tree diagram of art materials and identify the number of different possibilities from various combinations presented.

Based on a results table, students respond to questions about the probability of events occurring when an arrow is spun and lands on different colours.

Students interpret a tally chart to answer questions about the proportion and probability of outcomes from a coin toss.

Students use a number line to show as a fraction, the probability of the outcomes of different coin throws.

Students identify the most likely sequence of tosses of a fair coin and explain their reasons.

Students identify the most likely combination of throws for a fair coin, and explain their reasons.

Students predict the outcome of 100 coin tosses, then carry out a test of their prediction, recording their results.

Students predict the probability about the product of two dice and test their prediction by conducting an experiment that estimates the probability.

Students explain who is most likely to win a game based on spinners, and how the game could be made fair.

Students determine the correct probabilities for a series of coin throws.

Students interpret a table of children's votes for their favourite All Black to answer questions about chance.

Students throw three coins, and answer questions on frequency, probability, and compare theoretical with observed outcomes.

Using three dice, students investigate and list the different possible combinations of odd numbers showing on the top face of each dice.

Students choose the best statement from five options to describe the probability of receiving notes and coins in a board game.

Students use pictures to help them list the 24 different combinations of four children sitting in a row of desks.

Students count the number of pairs thrown in a series of throws of three dice to evaluate the long-run relative frequency of getting a pair.

Students throw two dice, add the numbers together, construct a tally chart of results, and compare theoretical with observed outcome.

Students cut out pictures and use them to show all the different possible combinations of two sets of objects.

In this practical task, students use a coloured spinner and record the frequency of colours occurring. They then use their findings to record the probability of each event and interpret these.