Consider the following sample space, S, and several events defined on it.S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}.F $\cap$ H is ___________.
A){Meagan}
B){Betty, Patty, Abel, Meagan}
C)empty, since F and H are complements
D)empty, since F and H are independent
E)empty, since F and H are mutually exclusive

Question

Quizplus · Accepted Answer

The intersection of F and H, denoted as F ∩ H, is the set of elements that are common to both F and H. In this case, F = {Betty, Patty, Meagan} and H = {Abel, Meagan}. The only common element between F and H is Meagan, so F ∩ H = {Meagan}.

Consider the Following Sample Space, S, and Several Events Defined ∩\cap∩

Consider the Following Sample Space, S, and Several Events Defined $\cap$