Problem

Suppose that you want to output 0 with probability 1/2 and 1 with probability 1/2. At your...

Suppose that you want to output 0 with probability 1/2 and 1 with probability 1/2. At your disposal is a procedure BIASED-RANDOM, that outputs either 0 or 1. It outputs 1 with some probability p and 0 with probability 1 ‒ p, where 0<p<1, but you do not know what p is. Give an algorithm that uses BIASED-RANDOM as a subroutine, and returns an unbiased answer, returning 0 with probability 1 /2 and 1 with probability 1 /2. What is the expected running time of your algorithm as a function of p?

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Solutions For Problems in Chapter 5.1