The problem is ambiguously worded. The "number of red balls" is a constant, R, so it is unlikely to ever coincide with K (irrespective of the value of N). What should be found here is
"the probability that, after N trials, the number of observations of red balls is K".
Clean the List of Names
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Sum of diagonal of a square matrix
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Probabilities - Balls and urns - 02
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