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Instructions are on the picture 2. First, there is a white and a black ball in an urn. In each step 11 = 1 ,

Instructions are on the picture

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2. First, there is a white and a black ball in an urn. In each step 11 = 1 , 2, 3, a ball is randomly taken from the well-mixed balls in the urn, This is due to the information from all previous steps being equally distributed among the balls inside. If the removed ball is white (called event A n ), it becomes put back in the urn along with a new white ball. If it is black (event A i), only it is covered, but no further ball. (a) (3 points) PIeSent the model assumptions in mathematical notation. Perform a suitable ltration in particular. (b) (6 points) Prove that the black ball with probability 1 is innite times is pulled

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