Question: A general knowledge quiz has ten questions. Each question has three possible 'answers' of which one only is correct. A woman attempts the quiz by

A general knowledge quiz has ten questions. Each question has three possible 'answers' of which one only is correct. A woman attempts the quiz by pure guesswork.

(a) Find the probabilities that she obtains

i. exactly two correct answers

ii. not more than two correct answers.

(b) What is the most likely number of correct answers and the probability that she just achieves this number?

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