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10-11-2022
Mathematics

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17. At a children's party, the children play a number of games. The winner of each game chooses a ticket for a prize, at random, from a box. The ticket is not returned to the box. At the start of the party, there are 12 prizes available: 1 book, 3 key-rings and 8 pencils. (a) Find the probability that the winners of the first two games choose the same type of prize. [3] (b) After the winners of the first three games have chosen their prizes, find the probability that the ticket for the book is still in the box. [2]

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