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".
Number of 1s in the Binary Representation of a Number
Longest run of consecutive numbers
Arrange vector in ascending order
Reverse a string
Prime number removal
A shooting competition
Probabilities - Balls and urns - 02
Area of polygon
Performance - summation
Geometrical meaning of determinant
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