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Ten percent of the pens made by Apex are defective. Only 5% of the pens made...

Ten percent of the pens made by Apex are defective. Only 5% of the pens made by its competitor, B-ink, are defective. Since Apex pens are cheaper than B-ink pens, an office orders 70% of its stock from Apex and 30% from B-ink. A pen is chosen at random and found to be defective. What is the probability that it was produced by Apex?

Can you please explain this step by step? I really appreciate it. It's easier when I can see how/why you do certain steps.

Math   Statistics-And-Probability   
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