Suppose that in a particular year, the U. S. government held a lottery to issue 69,000 Green Cards (permits for non-citizens to work legally in the U. S.). An individual, from Germany, was one of approximately 6 million people who entered this lottery. Let G = won Green Card.

a)What was this individual's chance of winning a Green Card? Write your answer as a probability statement. (Round your answer to four decimal places.)
P( ) =
b)In the summer, the individual received a letter stating she was one of 126,000 finalists chosen. Once the finalists were chosen, assuming that each finalist had an equal chance to win, what was the individual's chance of winning a Green Card? Let F = was a finalist. Write your answer as a conditional probability statement. (Round your answer to four decimal places.)
P( | ) =
C. Are G and F mutually exclusive events? Explain.