A random sample was taken from Wyoming. Eighty percent of students reported that they like dogs, 64% reported they like cats, and 97% reported that they like dogs or cats. What percentage of students like both dogs and cats?

Answer 1

P(D or C) = P(D)+P(C)-P(D and C)
.97 = .80 + .64 - P(D and C)
P(D and C) = .47