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1 a) Of 12 eggs in a refrigerator, 2 are bad. From these, 4 eggs are chosen at random to make cake. What are the

1 a) Of 12 eggs in a refrigerator, 2 are bad. From these, 4 eggs are chosen at random to make cake. What are the probabilities that (i) exactly one is bad? (ii) at least one is bad? b) A certain carton of eggs has 3 bad eggs and 9 good eggs. An omelette is made of 3 eggs randomly chosen from the carton. What is the probability that there are (i) no bad eg (ii) at least 1 bad egg, (iii) exactly 2 bad eggs in the omelette? Note : Business Statistics

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