Box A contains 5 white balls and 7 black balls. Randomly choose one ball. If it is white ball, we randomly draw one more from box A, and if it is black, we choose one ball from box B, in which there are 7 white balls and 8 black balls.
a) What is the probability that in the second draw we will choose a white ball?
b) The second ball is white, what is the probability that the first one was black?
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