In an election between two candidates, A and B, one million individuals cast their

vote. Among these, 2000 know candidate A from her election campaign and vote unanimously for her. The remaining 998000 voters are undecided and make their decision independently of each other by flipping a fair coin. Approximate the probability

pA that candidate A wins up to 3 significant figures.

Hint: use the Central Limit Theorem to make the approximation.

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