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Question: each of 30 boxes in a line contains a single...

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9. (A: 2 marks and c: 2 marks) Each of 30 boxes in a line contains a single red marble, and for 1 sks30, the box in the kth position also contains k white marbles. Tom begins at the first box and successively draws a single marble at random from each box, in order. He stops when he first draws a red marble. Let PO) be the probability that Tom stops after drawing exactly n marbles. What is the smallest value ofn for which P(m) s1/30?
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