1. The state has a new lottery game called "Suckers!" To play, you pay $1 and then pick a random number between 0 and 999. The lottery master then. selects a random number between 0 and 999 as well. If the numbers match, you win $500 (netting $499). Otherwise, you lose the $1 you paid. a. What is the probability of winning on one play? b. What is the probability of winning at least once in two plays?

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.CT: Chapter Test
Problem 13CT: 13. In a group of four students, what is the probability that at least two have the same...
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1. The state has a new lottery game called "Suckers!" To play, you pay $1 and
then pick a random number between 0 and 999. The lottery master then
selects a random number between 0 and 999 as well. If the numbers
match, you win $500 (netting $499). Otherwise, you lose the $1 you paid.
a. What is the probability of winning on one play?
b. What is the probability of winning at least once in two plays?
Transcribed Image Text:1. The state has a new lottery game called "Suckers!" To play, you pay $1 and then pick a random number between 0 and 999. The lottery master then selects a random number between 0 and 999 as well. If the numbers match, you win $500 (netting $499). Otherwise, you lose the $1 you paid. a. What is the probability of winning on one play? b. What is the probability of winning at least once in two plays?
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