A standard 52-card deck has the thirteen ranks 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, and A in the four suits: diamonds, hearts, spades, and clubs. Suppose that X = {all 4s and all Qs}, Y = {all 2s and all As}, and Z = {all spades and all clubs}.
a. Y ∩ Z.
b. X ∪ Y.
c. Probability that a 2 of hearts or a 9 of diamonds was drawn from the noted card deck.
d. Probability that an 8 or a J was drawn from the noted card deck.