# What is the compound reliability of two components in series?

**The compound reliability of two components in series with a dependability of 0.996:**

In order to determine the compound reliability of two components in series, we need to calculate the resultant reliability when both components are connected. Each component has a dependability of 0.996, meaning that the likelihood of each component functioning as intended is 0.996.

Now, to find the compound reliability of the two components in series, we use the formula:

**R = R1 x R2**

where R1 and R2 are the reliabilities of each component.

By substituting the given dependability of 0.996 into the formula, we get:

**R = 0.996 x 0.996 = 0.992016**

Therefore, the compound reliability of two components in series with a dependability of 0.996 is approximately 0.992016 after rounding to three decimal places.

## Understanding Compound Reliability of Components in Series

**Reliability** refers to the probability that a product, system, or service will function as intended for a specified period or in a predetermined environment without any faults. In the context of two components connected in series, the compound reliability signifies the combined reliability of both components operating successfully.

Each component's reliability, denoted by R, depends on its dependability, which is the opposite of the failure probability. The formula for calculating the resultant reliability of components in series, assuming independence, is given by:

**R = R1 x R2 x ... x Rn**

where R1, R2, ..., Rn represent the reliabilities of each component.

**Calculation Example:**

If both components have a dependability of 0.996, the compound reliability can be determined by multiplying their reliabilities as shown above. In this case, the compound reliability would be approximately 0.992016, indicating the likelihood of both components functioning successfully in series.

**Application:**

Understanding the compound reliability of components in series is crucial in various engineering systems where multiple components need to function in sequence for the system to operate effectively. By evaluating the combined reliability of individual components, engineers can assess the overall system reliability and make informed decisions regarding maintenance, design improvements, or system upgrades.