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Compute the odds against obtaining a number less than 5 in a single roll of a die. ..... The odds against are to (Type a whole number.)

Compute the odds against obtaining a number less than 5 in a single roll of a die. ..... The odds against are to (Type a whole number.)

A First Course in Probability (10th Edition)
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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**Title: Calculating Odds Against Rolling a Number Less Than 5 on a Die** **Introduction:** Understanding odds is an essential part of learning probability. In this example, we explore how to compute the odds against rolling a number less than 5 on a standard six-sided die. **Problem Statement:** Compute the odds against obtaining a number less than 5 in a single roll of a die. **Instructions:** Type your answer in the format: "The odds against are [ ] to [ ]." Use whole numbers only. **Explanation:** A standard die has six faces numbered from 1 to 6. To determine the odds against rolling a number less than 5, follow these steps: 1. **Identify Favorable Outcomes:** - Numbers less than 5: 1, 2, 3, 4 - Total favorable outcomes: 4 2. **Identify Unfavorable Outcomes:** - Numbers not less than 5: 5, 6 - Total unfavorable outcomes: 2 3. **Calculate Odds Against:** - Odds against = (Unfavorable outcomes) : (Favorable outcomes) - Odds against = 2 : 4 - Simplify the ratio: 1 : 2 Therefore, the odds against rolling a number less than 5 on a standard die are 1 to 2.
Transcribed Image Text:**Title: Calculating Odds Against Rolling a Number Less Than 5 on a Die** **Introduction:** Understanding odds is an essential part of learning probability. In this example, we explore how to compute the odds against rolling a number less than 5 on a standard six-sided die. **Problem Statement:** Compute the odds against obtaining a number less than 5 in a single roll of a die. **Instructions:** Type your answer in the format: "The odds against are [ ] to [ ]." Use whole numbers only. **Explanation:** A standard die has six faces numbered from 1 to 6. To determine the odds against rolling a number less than 5, follow these steps: 1. **Identify Favorable Outcomes:** - Numbers less than 5: 1, 2, 3, 4 - Total favorable outcomes: 4 2. **Identify Unfavorable Outcomes:** - Numbers not less than 5: 5, 6 - Total unfavorable outcomes: 2 3. **Calculate Odds Against:** - Odds against = (Unfavorable outcomes) : (Favorable outcomes) - Odds against = 2 : 4 - Simplify the ratio: 1 : 2 Therefore, the odds against rolling a number less than 5 on a standard die are 1 to 2.
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