Question: You simultaneously grab two balls at random from an urn containing two red balls, one blue ball and one green ball. What is the probability

You simultaneously grab two balls at random from an urn containing two red balls, one blue ball and one green ball. What is the probability that you have grabbed two non-red balls given that you have grabbed at least one non-red ball? What is the probability that you have grabbed two non-red balls given that you have grabbed the green ball? Can you give an intuitive explanation of why the second probability is larger than the first one

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