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A programmer has two alorithms to find a solution to the problem "K". Algorithm A uses 20 hours and always finds an answer to K. Algorithm B always uses 0.5 hours, and is not certain to find an answer. So we may have to run B multiple times.  p = P(B).  P(B) = probability for B to find the answer after a single run.  if p = 0.05, what ist he expected runtime before B finds an answer. Which is fastest (A or B to find K)?

A programmer has two alorithms to find a solution to the problem "K". Algorithm A uses 20 hours and always finds an answer to K. Algorithm B always uses 0.5 hours, and is not certain to find an answer. So we may have to run B multiple times.  p = P(B).  P(B) = probability for B to find the answer after a single run.  if p = 0.05, what ist he expected runtime before B finds an answer. Which is fastest (A or B to find K)?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A programmer has two alorithms to find a solution to the problem "K". Algorithm A uses 20 hours and always finds an answer to K. Algorithm B always uses 0.5 hours, and is not certain to find an answer. So we may have to run B multiple times. 

p = P(B).  P(B) = probability for B to find the answer after a single run. 
if p = 0.05, what ist he expected runtime before B finds an answer. Which is fastest (A or B to find K)?

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We have to use geometric distribution of x failures before getting first success.

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