If the probability of success during a single event of a geometric experiance is 0.16 what is the probability of success by the 9th event

For a geometric experiment involving trials and an event that occurs with probability , the probability that the event of interest will occur in the first trial is . If it fails in the first trial but succeeds in the second, the probability of this occurring would be . If the first two trials fail but the third succeeds, the probability of this happening is . And so on.

The unfolding pattern suggests that the probability of success in the th trial is , where .

This means the probability of this event happening by the 9th trial is

These are the multiples of 15 but what you are probably asking or what are the factors of 15