Exam-Style Problem

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Nov 2017 p62 q3
2914

A box contains 6 identical-sized discs, of which 4 are blue and 2 are red. Discs are taken at random from the box in turn and not replaced. Let X be the number of discs taken, up to and including the first blue one.

(i) Show that \(P(X = 3) = \frac{1}{15}\).

(ii) Draw up the probability distribution table for \(X\).

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