1.) We have n squares.
2.) z squares are black and (n - z) are white.
3.) Each of the z black squares has one chance per round to be converted to white with a probability d.
4.) Suppose k squares get converted to white, where k = 0, 1,..., z.
5.) What is the probability that we have at least (n - i) black squares at the end of a single round, where (n - i) is less than or equal to z?
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