On September 11, 2002, a particular state lottery's daily number came up 9-1-1. Assume that no more than one digit is used to represent the first nine months. a) What is the probability that the winning three numbers match the date on any given day? b) What is the probability that a whole year passes without this happening? c) What is the probability that the date and winning lottery number match at least once during any year? d) If 25 states have a three-digit lottery, what is the probability that at least one of them will come up 9-1-2 on September 12? a) The probability that the winning three numbers match the date on any given day that can be represented by a three-digit number is (Type an integer or decimal rounded to the nearest thousandth as needed.) The probability that the winning three numbers match the date on any given day that can be represented by a four-digit number, such as October 15, is (Type an integer or decimal rounded to the nearest thousandth as needed.) b) The probability that a whole year passes without this happening isU (Type an integer or decimal rounded to the nearest thousandth as needed.) c) The probability that the date and winning lottery number match at least once during any year is (Type an integer or decimal rounded to the nearest thousandth as needed) d) The probability that at least one of the winning numbers from 25 states is 9-1-2 on September 12 is (Type an integer or decimal rounded to the nearest thousandth as needed.)
On September 11, 2002, a particular state lottery's daily number came up 9-1-1. Assume that no more than one digit is used to represent the first nine months. a) What is the probability that the winning three numbers match the date on any given day? b) What is the probability that a whole year passes without this happening? c) What is the probability that the date and winning lottery number match at least once during any year? d) If 25 states have a three-digit lottery, what is the probability that at least one of them will come up 9-1-2 on September 12? a) The probability that the winning three numbers match the date on any given day that can be represented by a three-digit number is (Type an integer or decimal rounded to the nearest thousandth as needed.) The probability that the winning three numbers match the date on any given day that can be represented by a four-digit number, such as October 15, is (Type an integer or decimal rounded to the nearest thousandth as needed.) b) The probability that a whole year passes without this happening isU (Type an integer or decimal rounded to the nearest thousandth as needed.) c) The probability that the date and winning lottery number match at least once during any year is (Type an integer or decimal rounded to the nearest thousandth as needed) d) The probability that at least one of the winning numbers from 25 states is 9-1-2 on September 12 is (Type an integer or decimal rounded to the nearest thousandth as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:On September 11, 2002, a particular state lottery's daily number came up 9-1-1. Assume that no more than one digit is used to represent the first nine months. a) What is the probability that the winning three numbers match the date on any given day? b) What is
the probability that a whole year passes without this happening? c) What is the probability that the date and winning lottery number match at least once during any year? d) If 25 states have a three-digit lottery, what is the probability that at least one of them will
come up 9-1-2 on September 12?
a) The probability that the winning three numbers match the date on any given day that can be represented by a three-digit number is
(Type an integer or decimal rounded to the nearest thousandth as needed.)
The probability that the winning three numbers match the date on any given day that can be represented by a four-digit number, such as October 15, is
(Type an integer or decimal rounded to the nearest thousandth as needed.)
b) The probability that a whole year passes without this happening is
(Type an integer or decimal rounded to the nearest thousandth as needed.)
c) The probability that the date and winning lottery number match at least once during any year is
(Type an integer or decimal rounded to the nearest thousandth as needed.)
d) The probability that at least one of the winning numbers from 25 states is 9-1-2 on September 12 is
(Type an integer or decimal rounded to the nearest thousandth as needed.)
Enter your answer in each of the answer boxes.
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