Statistics

Chapter 22 | Probability

These are problem solving open-ended questions that require students to be able to carry out probability experiments and decide experimental probabilities based on the results. The tasks can be given at the start of a topic and done as the students gain enough knowledge to complete them, inserted into a topic at an appropriate place or given as homework or extension.

Understand that some events are more likely than others and be able to order probabilities of events.
Understand that some events are impossible and some are certain.

Understand that probability can be described using a fraction from 0 to 1 with 1 being certain and 0 being impossible.

List all the possible outcomes of an event with one, two or three stage chance situations. Begin to understand that events can be independent or dependent. Note: This is further covered in NZ Curriculum Mathematics - Connecting All Strands Level 4B.

Understand that some probabilities cannot be calculated and can only be found by experiment.
Understand that an estimate of the probability of an event happening can be found from the experiment using a fraction, where the denominator is the total number of trials and the numerator is the total number of times the event occurred during the experiment.
Understand that the more trials that are carried out, the more accurate the experimental probability will be.

Understand that the probability of an event can be calculated if the outcomes are all equally likely.
Know that the probability of an event happening can be given as a fraction, where the denominator is the total number of outcomes and the numerator is the number of possible ways the event can happen. This fraction can then be simplified.

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