Question: Microsoft Word - Assignment 1 Three oil companies, A, B, and C, are exploring for oil in an area. The probabilities that they will discover

Microsoft Word - Assignment 1

Three oil companies, A, B, and C, are exploring for oil in an area. The probabilities that they will discover oil are, respectively, 0.40, 0.60, and 0.20. If B discovers oil, the probability that A will also discover oil is increased by 20%, whereas this does affect the chance of C discovering oil (i.e., C is independent of B). Moreover assume that C is also independent of A.

  • a. What is the probability that oil will be discovered in the area by one or more of the three companies?
  • b. If oil is discovered in the area, what is the probability that it will be discovered by Company C?
  • c. What is the probability that only one of the three companies will discover oil in the area'?

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