Respected Tutor, please help me to solve the following problem as I tried a lot but I can't solve it.

Imagine we have an algorithm for solving some decision problems. Suppose that the algorithm makes a decision at random and returns the correct answer with probability 1/2 + , for some > 0, so just a bit better than a random guess. To improve the performance, we run the algorithm N times and take the majority vote. Show that, for any (0,1), the answer is correct with probability 1 , as long as N ln (^-1)/2².