I'd like to calculate the probability that at least N independent events out of a set of M events complete successfully. Each event Ei has a probability of success of Pi.
For example, if there are four independent events each with a unique probability of success:
How do I calculate that probability that at least 1 event will be successful? At least 2 events? 3 events? The order of successes does not matter. Thanks for any help!
The best answer I could find is here:
Unfortunately for me, it doesn't look like there's an easy way to get rid of the looping (summation) to solve the problem.