An event has a 60% chance of occurring each time. If you need this event to occur 10 times in a row to succeed, how do you determine the average number of attempts that will occur for a failure.

Trying to answer the question of total number of attempts:

(attempts to make it to 10 occurrences)*(ave. number of occurrences per failure) = total number of attempts needed on average

1/(0.6^10)*X = total number of attempts needed on average