Probability that four tickets drawn without replacement all belong to the smaller of two groups

Probability that four tickets drawn without replacement all belong to the smaller of two groups

6 marks

A raffle drum holds \(25\) tickets. Of these, \(15\) were bought by staff and \(10\) were bought by visitors. Four tickets are drawn at random, one after another, without replacement. Find the probability that every ticket drawn was bought by a visitor.[6]

Solution:

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Answer:\(\dfrac{21}{1265}\approx0.0166\)

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