Question
8. There are two urns: urn A and urn B. Each urn contains only red balls and blue balls. It is known that urn A
8. There are two urns: urn A and urn B. Each urn contains only red balls and blue balls. It is known that urn A has 14 red balls and 11 blue balls, while urn B has a total number of 23 balls.
In a random experiment, an urn is first randomly chosen and then 2 balls are drawn without replacement from the chosen urn. Suppose that the probability of choosing urn A and the probability of choosing urn B are both positive. Can the events "the two chosen balls are red" and "urn A is chosen" be independent? (Answer the question with calculation and explanation)
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