topic badge
AustraliaNSW
Stage 5.1-3

14.08 Solving problems with probability

Interactive practice questions

Consider the following probability Venn Diagram:

Find $P$P$($($A$A$|$|$B$B$)$). Express your answer as a fully reduced fraction.

Easy
1min

Three cards labelled $\editable{2}$2, $\editable{3}$3 and $\editable{4}$4 are placed face down on a table. Two of the cards are selected randomly. The outcomes are displayed in the following probability tree.

Medium
2min

Students were asked what they are allergic to. The table shows the results.

If a student is chosen at random, what is the probability that they:

Medium
3min

$100$100 office workers are surveyed about whether they buy a coffee (set $C$C) or lunch (set $L$L) during the work day. Some of the results are shown in the Venn diagram below.

Medium
4min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

MA5.1-10MG

applies trigonometry, given diagrams, to solve problems, including problems involving angles of elevation and depression

MA5.2-17SP

describes and calculates probabilities in multi-step chance experiments

What is Mathspace

About Mathspace