- The Venn diagram shows the probabilities for students at a college taking part in various sports.
\(A\) represents the event that a student takes part in Athletics.
\(T\) represents the event that a student takes part in Tennis.
\(C\) represents the event that a student takes part in Cricket.
\(p\) and \(q\) are probabilities.
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The probability that a student selected at random takes part in Athletics or Tennis is 0.75
- Find the value of \(p\).
- State, giving a reason, whether or not the events \(A\) and \(T\) are statistically independent. Show your working clearly.
- Find the probability that a student selected at random does not take part in Athletics or Cricket.