Two Basic Rules of Probability · Exercise 25
In 1994, the U.S. government held a lottery to issue 55,000 licenses of a certain type. Renate Deutsch, from Germany, was one of approximately 6.5 million people who entered this lottery. Let G = won license.
(a) What was Renate’s chance of winning one of the licenses? 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 one of the licenses? 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.
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OpenStax, Statistics · §3.3 Two Basic Rules of Probability · Exercise 25
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