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Stage 5.1-2

12.08 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 to form a two-digit number. 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
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Outcomes

MA5.2-17SP

describes and calculates probabilities in multi-step chance experiments

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