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In a certain lottery, there is a total of 300 tickets and 40 of them win some amount. If we purchase 15 tickets, what is

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In a certain lottery, there is a total of 300 tickets and 40 of them win some amount.

If we purchase 15 tickets, what is the probability that we have

(i) exactly two winning tickets?

(ii) at least six winning tickets?

(iii) at most 10 winning tickets?

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