# S5-4: Calculate probabilities, using fractions, percentages, and ratios.

This means that students will calculate probabilities for probability situations that involve two or more events. These events may be independent (for example rolling two dice, or tossing two coins) or dependent (for example drawing two cards from a deck of cards without replacement, or choosing to students from the class at random). They will be able to model these situations using models such as tree diagrams, tables and systematic lists and assign theoretical probabilities as proportions using fractions, percentages and ratios, for example the odds of winning the game are 2:3.

## Another Dartboard

- Problem Solving Activities
- Statistics
- Level Five

Predict probabilities of an event involving area

Make deductions from probabilities

Devise and use problem solving strategies to explore situations mathematically (guess and check, be systematic, look for patterns, draw a diagram, make a table, think, use algebra).

## Lara's Equiprobable Dice I

- Problem Solving Activities
- Statistics
- Level Five

Find certain probabilities relating to rolling two dice

Devise and use problem solving strategies to explore situations mathematically (be systematic)

## Probability Distributions

- Units of Work
- Statistics
- Level Five

This unit aims to introduce students to concepts that are important in probability.The emphasis should be on working slowly taking the time to let the students grasp the ideas that underlie the activities presented. All the ideas are important as a base for future learning in this area of mathematics.

## Slater Mazes

- Figure It Out Activities
- Statistics
- Level Five

This is a level 5 statistics activity from the Figure It Out series.

## Rough Justice

- Figure It Out Activities
- Statistics
- Level Five

This is a level 5 statistics activity from the Figure It Out series.

## Card Sharp

- Figure It Out Activities
- Statistics
- Level Five

This is a level 5 statistics activity from the Figure It Out series.

## Birth Months

- Figure It Out Activities
- Statistics
- Level Five

This is a level 5 statistics activity from the Figure It Out series.

## Fair Games

- Units of Work
- Statistics
- Level Five

Many games of chance and activities in maths text books involve rolling two dice and combining the scores, usually by addition. Students often find the probabilities of such events difficult to calculate as they are confused between events (for example a score of 4) and outcomes (for example 3 and 1, 2 and 2, 1 and 3). This unit makes use of a variety of activities where the number of outcomes in the sample space is clearly different from the number of events.

## That's the way the cookie crumbles

- Statistics
- Level Five

The purpose of this multi-level task is to engage students in an investigation that leads to the comparison of experimental probability, with a theoretical probability.

## Risk it for a Ticket?

- Statistics
- Level Five

The purpose of this task is to engage students in calculating a combined probability and using this to solve a problem.