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Year 11 (2025) Maths Advanced Probability and Statistics

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Question 1
31027

Each of the \(30\) students in a class studies at least one of Chinese and French. \(16\) study Chinese and \(20\) study French.

(i) Find the probability that a randomly chosen student studies Chinese.

(ii) Two different students are chosen at random. Find the probability that both study Chinese.

(iii) Find the probability that a randomly chosen student studies only one language.

Give any fraction answers in simplest form.

Part a: \(\text{(i) }\) 
8/15
1 mark
Part b: \(\text{(ii) }\) 
8/29
1 mark
Part c: \(\text{(iii) }\) 
4/5
1 mark

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