A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent have both dogs and cats. Let event C be choosing a client who has cats and let event D be choosing a client who has dogs. Which statements are true? Check all that apply.
P(C | D) = 0.78
P(D | C) = 0.44
P(C ∩ D) = 0.11
P(C ∩ D) = P(D ∩ C)
P(C | D) = P(D | C)