Begin by listing the outcomes in each event here: list 4 of the outcomes in even S\' (there are lot more than 5 but just list 5 Solution Ans- The probability that Events F and S both occur is the probability of theintersection of F and S. The probability of the intersection of Events F and S is denoted by P(F S). If Events F and S are mutually exclusive, P(F S) = 0. The probability of union of two events is given by: P(FS)P(FS) = P(F)+P(S)P(F)+P(S) – P(FS)P(FS) he occurrence of some events may affect the probability of occurrence of others. For example, the complementary events F and F cannot occur simultaneously. If one took place the other is out of the game: P(F|F) = 0 regardless of the probability P(F). (P(F|S) denotes the conditional probability of F assuming S.) We say that the event F is not independent of the event F (assuming P(F) 0 of couse.) And, in general, an event A is not independent of an event S iff P(F) P(F|S), i.e., if occurrence of S affects the probability of F. It may not be obvious right away, but the relationship \"not independent\" is symmetric: if F is not independent of S then also S is not independent of F. Formally, Here, P (F) is the probability of event F, P (S) is the probability of event S. Also, P(FS)P(FS) is the probability of the intersection of events F and S..