Single Step Chance Experiments (7)

Construct sample spaces for single-step experiments with equally likely outcomes (ACMSP167)

LO: To construct a single-step experiment
Know:

  • How to construct an experiment
  • How to construct a tally table to collect data

Understand:

  • that sample spaces can be constructed for single-step experiments

Do:

  • I can construct a sample space for single-step experiments..

Single-Step Experiments

A single-step experiment means a trial using only 1 step.

For example, rolling a die once then recording the result or flipping a coin once is a single-step experiment.

A multi-step experiment means that multiple (more than one) trials are used.

For example, rolling a die then flipping a coin. Or picking the winner and 2nd place finisher in the Melbourne Cup.

What is a Sample Space?

The sample space of an experiment is a list of the possible outcomes.

For example, the sample space for the outcome of rolling a die would be 1,2,3,4,5 and 6. The sample space for the outcome of flipping a coin would be heads or tails.

Equally Likely Outcomes

Equally-likely outcomes are situations that have a 50/50 chance (50%) of happening.

For example, rolling a die and seeing whether it lands as an odd or even number is an equally-likely outcome because there is an equal chance of it landing odd (1,3 or 5) compared to landing even (2, 4, or 6). Flipping a coin and seeing whether it lands heads or tails is also an equally-likely outcome.

Student Work

ACARA Work Samples

Chance Experiments Videos

FUSE Resources