There are 100 transistors stored in a box. One transistor from that box is defective. A technician Homly grabbed 25 transistors from the box. What is the probability that the defective transistor was taken he technician?
There are 100 transistors stored in a box. One transistor from that box is defective. A technician Homly grabbed 25 transistors from the box. What is the probability that the defective transistor was taken he technician?
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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![There are 100 transistors stored in a box. One transistor from that box is defective. A technician randomly grabbed 25 transistors from the box. What is the probability that the defective transistor was taken by the technician?
To calculate the probability, we use the formula for probability:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} \]
In this scenario:
- Number of favorable outcomes (drawing the defective transistor) = 1
- Total number of possible outcomes (transistors taken by the technician) = 25
Thus, the probability that the technician picked the defective transistor is:
\[ \text{Probability} = \frac{1}{25} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa232018-4c4a-45a3-8496-ee0a23c5d9af%2F7366eba9-de28-4b3d-8c3b-d1267214fded%2Fwkskf8q_processed.png&w=3840&q=75)
Transcribed Image Text:There are 100 transistors stored in a box. One transistor from that box is defective. A technician randomly grabbed 25 transistors from the box. What is the probability that the defective transistor was taken by the technician?
To calculate the probability, we use the formula for probability:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} \]
In this scenario:
- Number of favorable outcomes (drawing the defective transistor) = 1
- Total number of possible outcomes (transistors taken by the technician) = 25
Thus, the probability that the technician picked the defective transistor is:
\[ \text{Probability} = \frac{1}{25} \]
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