9. A lottery has a winner every day. The winning number is chosen randomly each day, and the probability of winning on any one day is 0.03. Alice plans to buy a lottery ticket every day for 500 days, and Bob plans to buy a ticket every day for 5,000 days. Which of the following is the best assessment of how the law of large numbers applies to this situation? (A) Alice will probably have a higher propor- tion of wins than Bob. (B) Bob will probably have a higher propor- tion of wins than Alice. (C) The difference between Alice's propor-

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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9. A lottery has a winner every day. The winning
number is chosen randomly each day, and the
probability of winning on any one day is 0.03.
Alice plans to buy a lottery ticket every day for
500 days, and Bob plans to buy a ticket every
day for 5,000 days. Which of the following is
the best assessment of how the law of large
numbers applies to this situation?
(A) Alice will probably have a higher propor-
tion of wins than Bob.
(B) Bob will probably have a higher propor-
tion of wins than Alice.
(C) The difference between Alice's propor-
tion of wins and Bob's proportion of
wins will probably be close to 0.03.
(D) Alice will probably have a proportion of
wins closer to 0.03 than Bob.
(E) Bob will probably have a proportion of
wins closer to 0.03 than Alice.
Transcribed Image Text:9. A lottery has a winner every day. The winning number is chosen randomly each day, and the probability of winning on any one day is 0.03. Alice plans to buy a lottery ticket every day for 500 days, and Bob plans to buy a ticket every day for 5,000 days. Which of the following is the best assessment of how the law of large numbers applies to this situation? (A) Alice will probably have a higher propor- tion of wins than Bob. (B) Bob will probably have a higher propor- tion of wins than Alice. (C) The difference between Alice's propor- tion of wins and Bob's proportion of wins will probably be close to 0.03. (D) Alice will probably have a proportion of wins closer to 0.03 than Bob. (E) Bob will probably have a proportion of wins closer to 0.03 than Alice.
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