Q:

Probability of random card from deck

Take a random card of a deck. Let A be the event that the card is hearts. Let B be the event that the card is a king, queen, or ace. Are these events independent? Standard deck of 52, no jokers.
I say yes they are independent. Event A is not dependent on event B when getting a card from the deck.
My question is, what are your thoughts on my conclusion? 

A:

Definition of independance : P(A) = P(A|B) or P(B) = P(B|A)
let A : Heart , B = King
P(A) = 13/52 = 1/4 and P(A|B) = 1/4
or 
P(B) = 4/52 = 1/13 and P(B|A) = 1/13

