In: Statistics and Probability
Part I (investigating patterns)
Assume that you are trying to achieve a certain goal and the probability of your success P(S) is only 20% and that your capabilities are not increasing over time, that is your probability of success is constant.
1. Show that the probability of unsuccessful attempt P(U) is 0.8.
Given that you did not succeed the first time, find the probability that you succeed the second time.
Given that you did not succeed in the first two attempts, find the probability that you succeed the third time.
Given that you did not succeed in the first (n – 1) attempts, find the probability that you succeed in the nth attempt.
What is the relation between the events S and U that lead to the results above?