Mathematics, 24.09.2019 02:30 jonquil201
An urn contains one white chip and a second chip that is equally likely to be white or black. a chip is drawn at random and returned to the urn. then a second chip is drawn. what is the probability that a white appears on the second draw given that a white appeared on the first draw? (hint: let wi be the event that a white chip is selected on the ith draw, i = 1, 2. then p(w2|w1) = p(w1∩w2) p(w1) . if both chips in the urn are white, p(w1) = 1; otherwise, p(w1) = 1/2)
Answers: 2
= 1 if both chips are white, 
represents the event that a white chip is selected on the ith draw. Then 
. If both chips in the urn are white, 
and 
, then 
. If one chip is white and the other is black, then 
because the event a white chip is selected on the first draw is independent from the event a white chip is selected on the second draw, and because the chips are drawn at random.
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An urn contains one white chip and a second chip that is equally likely to be white or black. a chip...
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