The probability of success by the 8th event is 75.21%.
Probability of success: 0.16
Probability of failure:
= 1 - P (Prob. of success)
= 1 - 0.16
= 0.84
Total probability of failure:
= 0.84 ^ 8 (# of event)
= 0.247875891
Probability of success on the 8th event:
= 1 - Probability of failure on previous events
= 1 - 0.247875891
= 0.7521 or 75.21%
To get either probability, deduct the given from 1 which serves as the 100% probability.
Hope this helps! :)
