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- Day 4: Geometric Distribution II

# Day 4: Geometric Distribution II

# Day 4: Geometric Distribution II

**Objective**

In this challenge, we go further with geometric distributions. We recommend reviewing the Geometric Distribution tutorial before attempting this challenge.

**Task**

The probability that a machine produces a defective product is . What is the probability that the defect is found *during the first inspections*?

**Input Format**

The first line contains the respective space-separated numerator and denominator for the probability of a defect, and the second line contains the inspection we want the probability of the first defect being discovered by:

```
1 3
5
```

If you do not wish to read this information from stdin, you can hard-code it into your program.

**Output Format**

Print a single line denoting the answer, rounded to a scale of decimal places (i.e., format).