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Optional Math 146 – Introductory Statistics – Fall 2014 (for fun – and a few extra points!) ***Due noon 10/20/2014 Show your work please! The probability that a tourist visiting Europe will see Paris is 0.50. The probability that a tourist visiting Europe will see a bullfight in Spain is 0.30. The probability that a tourist visiting Europe will see Paris AND Rome is 0.11. The probability that a tourist visiting Europe will see Paris AND Rome AND a bullfight is .05. The probability that a tourist visiting Europe will see Paris, but neither Rome nor a bullfight is 0.35 . The probability that a tourist visiting Europe will NOT see Paris, but see Rome and a bullfight is 0.08. The probability that a tourist visiting Europe will NOT see Paris, NOT see Rome and NOT see a bullfight is 0.13. Use a Venn Diagram (on this sheet, please) to answer the following: a) What is the probability that a person visiting Europe will visit Rome? b) What is the probability that a person visiting Europe will see Rome or a bullfight but not Paris? c) What is the probability that a person visiting Europe will see Paris and Rome, but not a bullfight? d) What is the probability that a person visiting Europe will either visit Paris, or visit Rome, or see a bullfight (that is, any one of the sights, not two or more)