Draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all the outcomes. HINT [See Example 3.] You purchase Brand X memory chips one quarter of the time and Brand Y memory chips the rest of the time. Brand X memory chips have a 8% failure rate, while Brand Y memory chips have a 1% failure rate.
P(Buy X and it fails) =
P(Buy X and no failure) =
P(Buy Y and it fails) =
P(Buy Y and no failure) =
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