Write your answer as a fraction using / to show division. Simplify the answer completely. What is the probability of winning? LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE NIM WIN LOSE LOSE
Write your answer as a fraction using / to show division. Simplify the answer completely. What is the probability of winning? LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE NIM WIN LOSE LOSE
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![**Probability of Winning a Spinner Game**
*Question:*
Write your answer as a fraction using / to show division. Simplify the answer completely. What is the probability of winning?
*Image Description:*
The image shows a spinner divided into ten equal segments. Each segment is labeled either "WIN" or "LOSE". Specifically, out of the ten segments, there are two "WIN" segments and eight "LOSE" segments.
*Solution:*
To find the probability of winning, we need to determine the ratio of "WIN" segments to the total number of segments.
1. Total number of segments: 10
2. Number of "WIN" segments: 2
3. Number of "LOSE" segments: 8
**Probability of Winning:**
The probability (P) of landing on a "WIN" segment is calculated by dividing the number of "WIN" segments by the total number of segments.
\[ P(\text{Winning}) = \frac{\text{Number of WIN segments}}{\text{Total number of segments}} = \frac{2}{10} \]
To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 2:
\[ \frac{2}{10} = \frac{2 \div 2}{10 \div 2} = \frac{1}{5} \]
Therefore, the probability of winning is \( \frac{1}{5} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F399a1257-cb2f-4e82-ae9d-71d2d5e5019d%2Fd884b9a1-6a8d-42a5-863c-6269483a2292%2Fs4g4om5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability of Winning a Spinner Game**
*Question:*
Write your answer as a fraction using / to show division. Simplify the answer completely. What is the probability of winning?
*Image Description:*
The image shows a spinner divided into ten equal segments. Each segment is labeled either "WIN" or "LOSE". Specifically, out of the ten segments, there are two "WIN" segments and eight "LOSE" segments.
*Solution:*
To find the probability of winning, we need to determine the ratio of "WIN" segments to the total number of segments.
1. Total number of segments: 10
2. Number of "WIN" segments: 2
3. Number of "LOSE" segments: 8
**Probability of Winning:**
The probability (P) of landing on a "WIN" segment is calculated by dividing the number of "WIN" segments by the total number of segments.
\[ P(\text{Winning}) = \frac{\text{Number of WIN segments}}{\text{Total number of segments}} = \frac{2}{10} \]
To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 2:
\[ \frac{2}{10} = \frac{2 \div 2}{10 \div 2} = \frac{1}{5} \]
Therefore, the probability of winning is \( \frac{1}{5} \).
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