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Day 4: Geometric Distribution I

https://www.hackerrank.com/challenges/s10-geometric-distribution-1

Problem

In this challenge, we learn about geometric distributions.

Task

The probability that a machine produces a defective product is 1/3. What is the probability that the 1st defect is found during the 5th inspection?

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 being the first defect for:

1 3
5

Output Format.

Print a single line denoting the answer, rounded to a scale of 3 decimal places (i.e., 1.234 format).

My Solution