We choose a number from the set {1, 2, ..., 100} uniformly at random and denote this number by X. For each of the following choices, determine whether the events in question are independent or not.
A = {X is even}, B = {X is divisible by 5}
P(A) =
P(B) =
P(AB) =
Are A and B independent? (Answer "yes" or "no") =
C = {X is a two-digit number}, D = {X is divisible by 3}
P(C) =
P(D) =
P(CD) =
Are A and B independent? (Answer "yes" or "no") =