, the U.S. government held a lottery to issue Green Cards (permits for non-citizens to work legally in the U.S.). Renate Deutsch, from Germany, was one of approximately million people who entered this lottery. Let G = won green card.
a. What was Renate’s chance of winning a Green Card? Write your answer as a probability statement.
b. In the summer of , Renate received a letter stating she was one of finalists chosen. Once the finalists were chosen, assuming that each finalist had an equal chance to win, what was Renate’s chance of winning a Green Card? Write your answer as a conditional probability statement. Let F = was a finalist.
c. Are G andF independent or dependent events? Justify your answer numerically and also explain why.
d. Are G and F mutually exclusive events? Justify your answer numerically and explain why.