Engineers constructed the following circuit with two relays (labeled 1 and 2). In order for current to travel through the circuit from point A to point B, at least one of the two relays needs to be activated. However, both relays 1 and 2 are faulty. Relay 1 works with probability 0.850.85, and relay 22 works with probability 0.720.72. Assuming the relays work independently, what is the probability that the current can travel from point A to point B?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Engineers constructed the following circuit with two relays (labeled 1 and 2). In order for current to travel through the circuit from point A to point B, at least one of the two relays needs to be activated. However, both relays 1 and 2 are faulty. Relay 1 works with probability 0.850.85, and relay 22 works with probability 0.720.72. Assuming the relays work independently, what is the probability that the current can travel from point A to point B?

 

This diagram is a basic flowchart representing a process or system with two key components, labeled as "1" and "2". It depicts a simple sequence of operations or steps:

1. **Flow Direction**:
   - The overall direction of the flow is from left to right, starting at point "A" and ending at point "B".

2. **Components**:
   - **Component 1**: Positioned at the top of the diagram, representing the first step or element in the process.
   - **Component 2**: Positioned below Component 1, indicating the second step or element.

3. **Connections**:
   - Each component is connected by pathways, suggesting a parallel process where both components 1 and 2 are operating or can be accessed simultaneously.

This type of diagram is often used to illustrate processes in fields such as engineering, computer science, or business to provide a clear visual representation of workflows or systems.
Transcribed Image Text:This diagram is a basic flowchart representing a process or system with two key components, labeled as "1" and "2". It depicts a simple sequence of operations or steps: 1. **Flow Direction**: - The overall direction of the flow is from left to right, starting at point "A" and ending at point "B". 2. **Components**: - **Component 1**: Positioned at the top of the diagram, representing the first step or element in the process. - **Component 2**: Positioned below Component 1, indicating the second step or element. 3. **Connections**: - Each component is connected by pathways, suggesting a parallel process where both components 1 and 2 are operating or can be accessed simultaneously. This type of diagram is often used to illustrate processes in fields such as engineering, computer science, or business to provide a clear visual representation of workflows or systems.
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