In a class, the probability of passing students in Mathematics is 0.7 and the probability of passing both Mathematics and Statistics is 0.5. What is the probability that a student passes Statistics given that the student passed Mathematics?
\(\dfrac{5}{7}\)
Using the conditional probability formula, \(P(\text{Statistics}\mid\text{Mathematics}) = \dfrac{P(\text{Mathematics}\cap\text{Statistics})}{P(\text{Mathematics})} = \dfrac{0.5}{0.7} = \dfrac{5}{7}\). Hence the required probability is \(\dfrac{5}{7}\).
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