# Bayer theorem of probability

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Mathematics

### Question Description

Use Bayes' theorem to find the indicated probability.

In the town of Maplewood a certain type of DVD player is sold at just two stores. 45% of the sales are from store A and 55% of the sales are from store B. 2.5% of the DVD players sold at store A are defective while 4.7% of the DVD players sold at store B are defective. If Kate receives one of these DVD players as a gift and finds that it is defective, what is the probability that it came from store A?

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probability of defective a=2.5%/45%

probabilty of defective b=4.7%/55%

probability that it is from a=(.025/.45)(.047/.55)=.00096.................................

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