<h3>
The both events are <u>
not independent</u>
as the intersection of outcomes of both the events is 3 and not equal to Ф.</h3>
Step-by-step explanation:
Here, the total number of cards in a deck = 52
The total number of heart cards = 13
The total number of red faces in the deck = 6 ( 3 of heart and 3 of diamonds)
Now, out of the TOTAL 6 red face cards, 3 are of hearts.
So, (Red cards) ∩ (Heart cards) = 3 cards ( J, Q and K)
Now let E : Event of picking card which is of heart.

So, the probability of picking a heart = 
Now let F : Event of picking card which is of red face.

So, the probability of picking a red face card = 
Hence, the both events E and F are <u>not independent</u> as the intersection of outcomes of both the events is 3 and not equal to
.