Two Basic Rules of Probability · Exercise 25
1994, the U.S. government held a lottery to issue 55,000 Green Cards (permits for non-citizens to work legally in the U.S.). Renate Deutsch, from Germany, was one of approximately 6.5 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 1994, Renate received a letter stating she was one of 110,000 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 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.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Introductory Statistics 2e · §3.3 Two Basic Rules of Probability · Exercise 25
No hints for this one.
Check your full solution
Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.
Your first check today doesn't need an account.
Your photos and PDFs are read once and not stored — only the transcription is kept.