Consider the following probability Venn Diagram:
Find $P$P$($($A$A$|$|$B$B$)$). Express your answer as a fully reduced fraction.
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.
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:
$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.