Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 1UA
A “Daily Number” lottery has a three-digit number from 000 to 999. You buy one ticket each day. Your number is 389.
1. What is the
Expert Solution & Answer
To determine
To find: The probability of winning the lottery next Tuesday and Wednesday.
Answer to Problem 1UA
The probability of winning the lottery next Tuesday and Wednesday is 0.000001.
Explanation of Solution
Given info:
A lottery has a three digit number from 000 to 999. Also, the number is 389.
Calculation:
Let event A denote the winning ticket on next Tuesday and B be denote that winning ticket on next Wednesday.
Here, the winning ticket on next Wednesday is not affected by winning ticket on next Tuesday. Thus, the selections are independent.
The formula for probability of event A is,
Substitute 1 for ‘Number of outcomes in event A’ and 1,000 for ‘Total number of outcomes in sample space’,
The formula for probability of event B is,
Substitute 1 for ‘Number of outcomes in event B’ and 1,000 for ‘Total number of outcomes in sample space’,
Multiplication rule for Independent Events:
If the events A and B are independent the probability of occurring of event B is does not affected by event A, that is
The required probability is,
Therefore, the probability of winning next Tuesday and Wednesday is 0.000001.
Interpretation:
There is a 0.000001 probability of winning next Tuesday and Wednesday.
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Chapter 3 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 3.1 - For each probability experiment, determine the...Ch. 3.1 - You ask for a students age at his or her last...Ch. 3.1 - Prob. 3TYCh. 3.1 - How many license plates can you make when a...Ch. 3.1 - You select a card from a standard deck of playing...Ch. 3.1 - In Example 6, determine the probability that the...Ch. 3.1 - Find the probability that the next user surveyed...Ch. 3.1 - Based on previous counts, the probability of a...Ch. 3.1 - Use the frequency distribution in Example 7 to...Ch. 3.1 - Find the probability of tossing a tail and...
Ch. 3.1 - Your college identification number consists of...Ch. 3.1 - What is the difference between an outcome and an...Ch. 3.1 - Determine whether each number could represent the...Ch. 3.1 - Explain why the statement is incorrect: The...Ch. 3.1 - When you use the Fundamental Counting Principle,...Ch. 3.1 - Describe the law of large numbers in your own...Ch. 3.1 - List the three formulas that can be used to...Ch. 3.1 - True or False? In Exercises 710, determine whether...Ch. 3.1 - True or False? In Exercises 710, determine whether...Ch. 3.1 - A probability of 110 indicates an unusual event.Ch. 3.1 - True or False? 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Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License