When two samples of white noise with equal amplitude are added together, the resulting sample does not have double the amplitude; instead, the squared amplitudes add, leading to an increase in average power. The discussion also touches on pink noise, which behaves similarly under addition, maintaining its characteristics through Fourier transformation. Constants in the Fourier transformation, denoted as cf and cg, represent the contributions of each noise sample. The uncorrelated nature of the noise sources implies no fixed phase relation, supporting the conclusion that average powers, rather than amplitudes, sum. Overall, the addition of uncorrelated noise samples results in a more complex interaction than simply doubling the amplitude.