Two events are mutually exclusive if they share no common outcome.

Summing probabilities

Maths

Checking listing possible outcomes

The probability scale

Calculating theoretical probabilities from lists (one event)

Calculating theoretical probabilities from a table (one event)

Calculating theoretical probabilities from probability tree diagrams (one event)

Calculating theoretical probabilities from Venn diagrams (one event)

Comparing multiple representations to calculate theoretical probabilities

Calculating theoretical probabilities from two-way tables (two events)

Calculating theoretical probabilities from Venn diagrams (two events)

Calculating theoretical probabilities from probability trees (two events)

Comparing multiple representations to calculate theoretical probabilities for combined events

Problem solving with theoretical probability

In the future unit, pupils use their knowledge of calculating theoretical probabilities and extend this understanding to calculating conditional probabilities using all of the representations encountered in this unit.

In the prior unit, pupils learnt techniques for systematically listing all of the possible outcomes for both one event and two events. In this unit, pupils use lists of outcomes to find theoretical probabilities. 

In this unit we build upon the concept of likelihood to work more mathematically with more measurable probability using fraction and decimal representations to both interpret and calculate. We revisit and develop ways to represent and compare probabilities.

Probability: theoretical probabilities

Two or more events are __________ if they share no common outcome.

A set of events are __________ if at least one of them has to occur whenever the experiment is carried out.

A standard six-sided dice is rolled. Which pairs of events are mutually exclusive?

A standard six-sided dice is rolled. Which pairs of events are exhaustive?

When a set of events are all mutually exclusive and exhaustive, their probabilities sum to {{}}.

The probability that a cone lands on its base is 0.1. What is the probability that the cone does not land on its base?

A __________ diagram is a representation used to model statistical/probability questions, where branches represent different possible events or outcomes.

What is the probability that the spinner lands on the number 2?

What is the probability that the spinner does not land on the number 2?

Which values represent the probability that this spinner lands on an integer?

Based on the Venn diagram, which numbers belong to both sets A and B?

An integer between 1 and 10 is selected at random. Based on the Venn diagram, what is the probability that the outcome is from set A?

Summing probabilities

Lesson outcome