If \( E \) and \( F \) are disjoint events, then \( P(E \) or \( F)= \) \( P(E)+P(F)-P(E \) and \( F) \). \( P(E) \). \( P(E)+P(F) \). \( P(F) \). \( P(E \) and \( F) \).

When dealing with disjoint events, the key thing to remember is that they cannot occur at the same time. This means that the probability of both events happening together, \( P(E \) and \( F) \), equals zero. Therefore, for disjoint events \( E \) and \( F \), the correct formula simplifies to \( P(E) + P(F) \), as there’s no overlap to subtract. If you want to visualize this better, think of two non-overlapping circles in a Venn diagram. The area within each circle represents the probability of each event happening independently, and since they don’t intersect, we simply add those areas together for the total probability of either event occurring. This makes calculating the probability of disjoint events straightforward and intuitive!