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".
Remove the polynomials that have positive real elements of their roots.
Spot the outlier
Fibonacci-Sum of Squares
A shooting competition
Probabilities - Balls and urns - 02
Non trivial identities - reshape
Performance - summation
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