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A forest type consists of three species of trees:

  • 25% are Douglas-fir
  • 40% are Hemlock
  • 35% are Western Red Cedar

a) What is the probability that a tree selected at random will be a Douglas-fir?

b) What is the probability that a tree selected at random will not be a Hemlock?

c) If it is known that the tree selected is not a Hemlock, what is the probability that it is not Western Red Cedar either? (Hint: start with a Venn diagram that uses the entire sample space)

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