An urn contains r red balls and b blue balls. A ball is chosen at random from the urn, its color is noted, and it is returned together with d more balls of the same color. This repeated indefinitely. a) What is the probability that the first ball drawn given that the second ball drawn is blue? b) Find the probability that the first ball is blue given that the n subsequent drawn balls are all blue. Find the limit of this probability as n tends to infinity.
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