Suppose balls are drawn at random, one by one, without replacement from a box with 6 red and 4 black balls? (a) Given that there are exactly 2 red balls drawn in the first four draws, what is the conditional probability that the fifth draw yields a red ball? (b) What is the probability that a red ball is drawn for the third time in the fifth draw? (Hint: use the result in part (a) and the multiplication principle.)

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