Question: A fishpond contains 20 orange fish and 10 green fish. A sample of 7 fish is taken without replacement from the pond. Let X denote

A fishpond contains 20 orange fish and 10 green fish. A sample of 7 fish is taken without replacement from the pond. Let X denote the number of orange fish in the sample.
(i) State the type of distribution of X and find Pr(X ≥ 5).
(ii) If the sample contains at least six orange fish, how likely is it to contain only orange fish?

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