Objective
In this challenge, we learn about geometric distributions. Check out the Tutorial tab for learning materials!
Task
The probability that a machine produces a defective product is . What is the probability that the defect occurs the item produced?
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
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).