What is the probability of pulling a diamond, or a jack, or a king, or a 5, or a 7, or a spade, or the 4 of hearts in a deck of cards?

Diamond 13/52

jack 4/52*only two that are not spades or diamonds (already included) so ignore 2*

king 4/52*only two that are not spades or diamonds (already included) so ignore 2*

5 4/52*only two that are not spades or diamonds (already included) so ignore 2*

7 4/52 * only two that are not spades or diamonds (already included) so ignore 2*

spade 13/52

4 of hearts 1/52

(13+13+2+2+2+2+1) / 52=35/52