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To the urn containing five black balls we add a number of white balls, which depends on the roll of the fair dice (i.e. if

To the urn containing five black balls we add a number of white balls, which depends on the roll of the fair dice (i.e. if 1 is rolled then then we add 1 white ball etc.). Then we draw two balls without replacement. Find the covariance of the number of different colours among drawn balls (it can be one or two) and the number of the added white balls

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