Question

The diversity visa lottery in 2013 gave 50,000 Green Cards (permits for non-citizens to work legally in the U.S.). Francis Djembe, from Congo, was one of approximately 7.9 million people who entered this lottery from various countries around the world. Let G = won green card.

1. What was Francis’ chance of winning a Green Card? Write your answer as a probability statement.
2. In the summer of 2013, Francis received a letter stating he was one of 120,000 finalists chosen. Once the finalists were chosen, assuming that each finalist had an equal chance to win, what was Francis’ chance of winning a Green Card? Write your answer as a conditional probability statement. Let F = was a finalist.
3. Are G and F 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.

Answer 1

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