If something happens in 25 % of all cases in every generation, what will the frequency converge to in the long run?

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I just saw this map http://consang.net/images/c/c4/Globalcolourlarge.jpg (available on Archive.org if it would ever disappear) and become curious about how inbred people actually are.

3 scenarios:

  1. In quite a few countries around 25 % of all marriages are between cousins. If that number is constant over the generations, how inbred is the average person living in such a country?

  2. In the worst countries around 50 % of all marriages are between cousins. Same question as in (1).

  3. And the same the question for the countries with only 1 % cousin marriages.

Where do these three scenarios converge? Naïvely I figured it should be at 50 %, 100 % and 2 % but I can't really motivate that guess.