Excel - Outcome Probabilities (e.g. # of wins) For a Set of Independent Events

I've asked this on an Excel forum, but they've recommended posting to a statistical forum. Please see the image below for an example of what I'm wanting to determine - essentially the probability for a given number of events occurring (games won in the example) out of a particular set of such events, wherein the probability of each event is different. I'm wanting to be able to perform this analysis for sets of 100 or more events, so a direct, brute-force approach is out of the question. Is there a way to automate this in Excel?

Thanks in advance for any help!



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There is. And brute Force us pretty much the only way to do it. But I think I have something lying around that does just that.

Basically you can do the brute Force by iteration and it's not too terrible to get that programmed in Excel