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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
32.   Â
Each of 2 balls is painted black or gold and then placed in an urn. Suppose that each ball is colored black with probability 1 , and that these events are independent.
(a)Â Â Â Â Suppose that you obtain information that the gold paint has been used (and thus at least one of the balls is painted gold). Compute the conditional prob- ability that both balls are painted gold.
(b)Â Â Â Â Â Suppose, now, that the urn tips over and 1 ball falls out. It is painted gold. What is the probability that both balls are gold in this case? Explain.
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