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b) Five identical bowls are labeled 1, 2, 3, 4, and 5. Bowl i contains i white and 52 black balls, with i = 1,

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b) Five identical bowls are labeled 1, 2, 3, 4, and 5. Bowl i contains i white and 52 black balls, with i = 1, 2, ...,5. A bowl is randomly selected and two balls are randomly selected (without replacement ) from the contents of the bowl. (i) What is the probability that both balls selected are white? 3 marks (ii) Given that both balls selected are white, what is the probability that bowl 3 was selected?

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