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Use Bayes rule to find the indicated probability. A company is conducting a sweepstakes and ships two boxes of game pieces to a particular store. Box A has 4% of its contents being winners, while 5% of the contents of box B are winners. Box A contains 20% of the total tickets. The contents of both boxes are mixed in a drawer and a ticket is chosen at random. What is the probability it came from box A if it is a winner? 7.

math   Statistics-And-Probability   
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Answer #1

P( Box A /Winner)

= (0.20*0.04)/(0.20*0.04+0.80*0.05)

= 1/6

= 0.167 ( Rounded to three decimal places)

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