A small brewery has two bottling machines. Machine A produces 75% of the bottles, and machina B produces 25%. 1 out of every 20 bottles filled by A is rejected for some reason, while 1 out od 30 bottles from B is rejected. (a) What proportion of bottles is rejected? (5%) (b) What is the probability that a randomly selected bottle comes from machina A, given that it is accepted? (5%) needs workings as well as the answer

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