1. What is Reliability Given Risk?

Reliability is the probability that a project does not fail its purpose during its design life. Risk is the probability of occurrence of an event at least once over a period of n successive years.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Reliability \) — Probability that a project does not fail its purpose
• \( Risk \) — Probability of occurrence of an event at least once

Explanation: This formula calculates reliability as the complement of risk, where reliability and risk sum to 1.

3. Importance of Reliability Calculation

Details: Calculating reliability from risk is crucial for risk assessment, project planning, and ensuring system robustness in engineering and project management.

4. Using the Calculator

Tips: Enter risk value between 0 and 1. The calculator will compute reliability as 1 minus the risk value.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between reliability and risk?
A: Reliability and risk are complementary probabilities that sum to 1. Higher risk means lower reliability, and vice versa.

Q2: What are typical risk values used in engineering?
A: Risk values typically range from 0 to 1, with lower values (0.01-0.1) used for critical systems and higher values for less critical applications.

Q3: Can reliability be greater than 1?
A: No, reliability is a probability and must be between 0 and 1, inclusive.

Q4: How is this formula applied in real-world projects?
A: This formula is used in reliability engineering, safety analysis, and risk management to quantify the likelihood of successful system operation.

Q5: What factors affect reliability calculations?
A: Component failure rates, environmental conditions, maintenance schedules, and system design complexity all influence reliability calculations.