Let the sample space be $S = \{1, 2, 3, 4, 5, 6, 7, 8\}$ with all outcomes equally likely. Consider the three events: $A = \{1, 2, 3, 4\}$, $B = \{1, 5, 6, 7\}$, and $C = \{1, 2, 5, 8\}$. Which of the following statements is true regarding the independence of these events?