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Mathematics, 19.10.2019 00:00 sherlock19

Suppose that a bag of scrabble tiles contains 5 es, 4 as, 3 ns, and 2 bs. it is my turn and 1 draw 4 tiles from the bag. assume that my draw is uniformly random. let c be the event that i got two es, one a and one n. a. compute p(c) by imagining that the tiles are drawn one by one as an ordered sample. b. compute p(c) by imagining that the tiles are drawn all at once as an unordered sample. we have an one with m green balls and n yellow balls. two balls are drawn at random. what is the probability that the two balls have the same color? a. assume that the balls are sampled without replacement. b. assume that the balls are sampled with replacement. c. when is the answer to part (a) larger than the answer to pair (b)? justify your answer. can you given an intuitive explanation for what the calculation tells you?

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