A scientist conducts an experiment with mice. Mice entered a room and had to choose between going through a red door and going through a blue door. 9 of the mice went through the red door and 20 went through the blue door. A mouse enters the room. What is the probability that it goes through the red door? Write your answer as a percent rounded to two decimal places. You need not enter the "%" symbol. prob = %
A scientist conducts an experiment with mice. Mice entered a room and had to choose between going through a red door and going through a blue door. 9 of the mice went through the red door and 20 went through the blue door. A mouse enters the room. What is the probability that it goes through the red door? Write your answer as a percent rounded to two decimal places. You need not enter the "%" symbol. prob = %
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Experimental Probability with Mice**
A scientist conducts an experiment with mice. Mice entered a room and had to choose between going through a red door and going through a blue door. Nine of the mice went through the red door and 20 went through the blue door. A mouse enters the room. What is the probability that it goes through the red door? Write your answer as a percent rounded to two decimal places.
You need not enter the "%" symbol.
**prob = [ ] %**
**Explanation:**
In this experiment, the total number of mice is 29 (9 choosing the red door and 20 choosing the blue door). To find the probability of a new mouse choosing the red door, you'll calculate:
\[ \text{Probability (P)} = \left( \frac{\text{Number of mice through red door}}{\text{Total number of mice}} \right) \times 100 \]
\[ P = \left( \frac{9}{29} \right) \times 100 \]
\[ P \approx 31.03\% \]
So, the probability that the mouse goes through the red door is approximately 31.03%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75c99f29-b994-4b0b-a9b8-00ecf29768e8%2F1829174a-cc97-4c06-919b-c819a3f613d8%2Fckxyyv5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Experimental Probability with Mice**
A scientist conducts an experiment with mice. Mice entered a room and had to choose between going through a red door and going through a blue door. Nine of the mice went through the red door and 20 went through the blue door. A mouse enters the room. What is the probability that it goes through the red door? Write your answer as a percent rounded to two decimal places.
You need not enter the "%" symbol.
**prob = [ ] %**
**Explanation:**
In this experiment, the total number of mice is 29 (9 choosing the red door and 20 choosing the blue door). To find the probability of a new mouse choosing the red door, you'll calculate:
\[ \text{Probability (P)} = \left( \frac{\text{Number of mice through red door}}{\text{Total number of mice}} \right) \times 100 \]
\[ P = \left( \frac{9}{29} \right) \times 100 \]
\[ P \approx 31.03\% \]
So, the probability that the mouse goes through the red door is approximately 31.03%.
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