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This will vary, but it seems to be from one to three games on average. It will not always be the same amount of games every month either.
Sometimes the games given out for free are newer titles. Other times they’re indie titles that weren’t that much to begin with. The point being that it’s important to stay on top of which games are being given out every single month. And it’s even better to know the moment Microsoft confirms the lineup. So you can avoid buying something that you may be getting for free soon.