Question 15 - Mathematics: Probabilistic and Statistical Reasoning Practice Test for the TSIA2

In a certain experiment, the probability that event A occurs is \(\frac{2}{3}\) and the probability that event B occurs is \(\frac{1}{2}\). If the probability that both A and B occur is \(\frac{1}{4}\), what is the probability that event A has occurred given that B has occurred?

\[\dfrac{1}{2}\]
\[\dfrac{1}{3}\]
\[\dfrac{3}{4}\]
\[\dfrac{1}{4}\]

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