If probability of success is `63%`, what is the probability of failure?

Answer

To solve the problem of finding the probability of failure when the probability of success is given as 63%, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between success and failure probabilities**:
The sum of the probabilities of success and failure must equal 1. This can be expressed mathematically as:
\[ P(\text{Success}) + P(\text{Failure}) = 1 \]

2. **Identify the given probability**:
The probability of success is given as 63%. We can convert this percentage into a decimal for easier calculations:
\[ P(\text{Success}) = 63\% = 0.63 \]

3. **Set up the equation for probability of failure**:
Using the relationship from step 1, we can express the probability of failure as:
\[ P(\text{Failure}) = 1 - P(\text{Success}) \]

4. **Substitute the known value into the equation**:
Now we can substitute the value of \( P(\text{Success}) \) into the equation:
\[ P(\text{Failure}) = 1 - 0.63 \]

5. **Perform the calculation**:
Now we calculate the probability of failure:
\[ P(\text{Failure}) = 1 - 0.63 = 0.37 \]

6. **Convert the decimal back to percentage (if needed)**:
If required, we can convert the decimal back to a percentage:
\[ P(\text{Failure}) = 0.37 \times 100\% = 37\% \]

### Final Answer:
The probability of failure is \( 0.37 \) or \( 37\% \).

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