5. Central Limit Theorem "The power of commited minorities”: Assume there is an election with two candidates A and B and 1 000 000 voters. 2000 of these voters are definitely voting for candidate A. The remaining 998 000 voters are indecisive and will independently of each other vote for one of the candidate with equal probability 1/2 (they might simply throw a fair coin). Determine approximately the probability PA that candidate A wins the election.

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