Bayer theorem of probability

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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? 
Jun 4th, 2015

Thank you for the opportunity to help you with your question!

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.................................

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 4th, 2015

My answer choices given in the homework question are:

0.303

0.025

0.697

0.435

So I don't understand which part of the calculation I missed to answer the quesiton

Jun 4th, 2015

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