Suppose that we define the following events: C event that

Chapter 0, Problem 6.63

(choose chapter or problem)

Suppose that we define the following events: C event that a randomly selected driver is observed to be using a cell phone, A event that a randomly selected driver is observed driving a passenger automobile, V event that a randomly selected driver is observed driving a van or SUV, and T event that a randomly selected driver is observed driving a pickup truck. Based on the article Three Percent of Drivers on Hand-Held Cell Phones at Any Given Time (San Luis Obispo Tribune, July 24, 2001), the following probability estimates are reasonable: P(C) .03, , , and . Explain why P(C) is not just the average of the three given conditional probabilities.

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