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In: Statistics and Probability

In an exclusive suburb of Chicago, 55% of the families are members of the golf course,...

In an exclusive suburb of Chicago, 55% of the families are members of the golf course, 40% are members of the tennis club, and 15% are members of both the golf course and tennis club.

  1. Draw a Venn Diagram illustrating this information. Write probabilities corresponding for each region in the diagram.
  2. Using your diagram, find the probability that a randomly selected family from this suburb is a member of the tennis club but not the golf course.
  3. Using your diagram or a probability formula, calculate the probability that a randomly selected family from this suburb is a member of the golf course OR the tennis club.
  4. Calculate the probability that a randomly selected family in this suburb is a member of the tennis club, given that they are a member of the golf course.

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