According to Reliability Rule 3, how can the probability of success be calculated for multiple events?

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To determine the probability of success for multiple events according to Reliability Rule 3, opting for the calculation of 1 - P(all fail) is effective because it simplifies the assessment of stakeholder reliability over a series of events. Rather than calculating the success of each individual event directly, it focuses on the complementary probability—how likely it is for all events to fail, and then subtracting that from 1 gives the probability of at least one event succeeding.

This method is particularly useful in scenarios where the individual probabilities of failure are known. It can be more efficient to compute failing probabilities since in many practical applications, failure rates may be easier to determine. By considering the combined failure events and taking the complement, you get a clear view of the likelihood of at least one successful outcome.

The other options fail to encapsulate this comprehensive approach to assessing probabilities in a multi-event scenario. Thus, calculating the probability of success through the method of 1 - P(all fail) aligns effectively with the principles outlined in Reliability Rule 3, providing a practical and straightforward solution.

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