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$\begingroup$

part of a question that I am trying to asks to "use the definition of conditional probability along with results of parts (b) and (c) to calculate P(has disease/positive test)".

Now I am confused as to why I would need to use conditional probability and weather or not P(A/B) is division of P(A)/P(B).

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    In the question you quote, the symbol / is intended to be what we usually write as $|$.2012-03-01
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    One to watch out for: some people (bad, bad people) might write $P(A\backslash B)$ to mean the probability of $A$ and not $B$, interpreting the $\backslash $ to mean set difference.2012-03-01

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