Worked examples with Venn and table

Let us see how to apply the Venn–table method to concrete situations. In all the examples we proceed as follows: we fix the events, translate the data into constraints on the quantities $x, y, z, t$, solve the system and answer the question. The examples also show classic mistakes to avoid, such as confusing $P(A\mid B)$ with $P(B\mid A)$.

• Example — Influenza vaccine
• Example — Lethality of a virus
• Example — Robbery and law enforcement
• Example — Driving test