Question: 2n balls are chosen at random from a total of 2n red balls and 2n blue balls. Find a combinatorial expression for the probability that

2n balls are chosen at random from a total of 2n red balls and 2n blue balls. Find a combinatorial expression for the probability that the chosen balls are equally divided in colour. Use Stirling’s formula to estimate this probability. Using Binomial Probabilities, compare the exact value with Stirling’s approximation for n = 20.

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