{{task}}Given a weighted one-bit generator of random numbers where the probability of a one occuringoccurring, <math>P_1</math>, is not the same as <math>P_0</math>, the probability of a zero occuringoccurring, the probability of the occurrence of a one followed by a zero is <math>P_1</math> × <math>P_0</math>, assuming independence. This is the same as the probability of a zero followed by a one: <math>P_0</math> × <math>P_1</math>.