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Twelve teenagers are randomly selected from Causeway Point. The teenagers are interviewed one at a time and 8 of them are found to be nonsmokers.

Twelve teenagers are randomly selected from Causeway Point. The teenagers are interviewed one at a time and 8 of them are found to be nonsmokers.

(i) What is the probability that the first two teenagers interviewed are nonsmokers?

(ii) What is the probability that the last two teenagers interviewed are nonsmokers?

(iii) What is the probability that the first two and the last two teenagers interviewed are nonsmokers?

(iv) What is the conditional probability that the last two teenagers interviewed are nonsmokers given that the first two teenagers interviewed are nonsmokers?

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