The maximum random baseline can be extended to handle tasks with varying numbers of labels per example by considering the distribution of correct guesses as modeled by a Poisson binomial distribution. In tasks where each example can have a different number of possible labels, the number of correct guesses follows a Poisson binomial distribution instead of a binomial distribution. By incorporating the distribution function and probability mass function of the Poisson binomial distribution into the calculation, the maximum order statistic of the Poisson binomial distribution can be determined. This extension allows for the calculation of the maximum random baseline in scenarios where the number of labels per example varies, providing a more accurate representation of random performance in such tasks.