(Solution) - An oil drilling company ventures into various locations and its -(2025 Original AI-Free Solution)

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An oil drilling company ventures into various locations, and its success or failure is independent from one location to another. Suppose the probability of a success at any specific location is 0.25.
(a) What is the probability that a driller drills 10 locations and finds 1 success?
(b) The driller feels that he will go bankrupt if he drills 10 times before the first success occurs. What are the driller's prospects for bankruptcy?