The probability of a customer arriving at a bank is 0.9 per minute, indicating a high likelihood of customer arrivals. Over a span of 10 minutes, this results in an expected average of 9 customers. The discussion highlights that the probability of arrivals in one minute does not influence the next minute, demonstrating the concept of independent events. Understanding this independence is crucial for calculating expected outcomes in probability scenarios. The conclusion reinforces that, on average, one would anticipate 9 customers in 10 minutes.