\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(E\) be the event “the machine produces a defective item” (\(P(E) = 15\pourcent\)). Let \(F\) be the event “the item is selected for quality control” (\(P(F) = 20\pourcent\)).
Suppose the two events are independent.
  1. Draw the probability tree diagram.
  2. Calculate the probability that the machine produces a non-defective item and the item is not selected for quality control.

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