Exam-Style Problem

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Nov 2004 p6 q6
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A box contains five balls numbered 1, 2, 3, 4, 5. Three balls are drawn randomly at the same time from the box.

(i) By listing all possible outcomes (123, 124, etc.), find the probability that the sum of the three numbers drawn is an odd number.

The random variable \(L\) denotes the largest of the three numbers drawn.

(ii) Find the probability that \(L\) is 4.

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