Consider the following probability Venn Diagram:
Find $P$P$($($A$A$|$|$B$B$)$). Express your answer as a fully reduced fraction.
Given that $P\left(A\cap B\right)=$P(A∩B)=$0.2$0.2 and $P\left(A\cap B'\right)=$P(A∩B′)=$0.3$0.3.
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.
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: