Suppose there are four boxes that look the same on the outside but each of them has a different number of black and white balls inside. The number of balls varies according to the following chart Box # of Black # of White 1            1                1 2            1                2 3            1                3 4           4                 1 In our experiment, a box is first picked at random and then a ball is withdrawn, its color thus noted. 1) Given that we know which box we have chosen, what is the probability of choosing a black ball out of: a) Box 1? b) Box 2? c) Box 3? d) Box 4?

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