During an election in a remote country, one million of people are voting for choosing between the candidate A and the candidate B. Unfortunately, n electors are under the control of a criminal organization, so that they will vote surely for candidate A. All the other electors vote at random, i.e., they choose with probability 1/2 between the two candidates. i)  In case the organization controls n = 2000 voters, which is the (approximated) probability that candidate A will win the election? ii)  Which is the minimum number n that the organization has to control for guaranteeing a probability of victory of at least 99%? please if able write some explanation with the taken steps, thank you in advance

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