If the probability of success during a single event of a geometric experiment is 0.16, what is the probability of success by the 8th event? Round your answer to the nearest tenth of a percent.

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! :)