A ball is in any one of n boxes and is in the ith box with probability
Pi
. If the ball is in...
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Mathematics, 12.08.2020 06:01 jaylafennell101
A ball is in any one of n boxes and is in the ith box with probability
Pi
. If the ball is in box i, a search of that box will uncover it with probability
αi
. Show that the conditional probability that the ball is in box j, given that a search of box i did not uncover it, is
Pj
1−αiPi if j≠i
(1−αi)Pi
1−αiPi if j=i
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