Geometry

Question Analysis
This question involves applying the concept of independent events in the context of drawing cards with replacement from a standard deck.
The main focus is on correctly determining the probabilities of drawing a heart and a face card and then using the multiplication rule for independent events.

Key Concept Explanation
When a card is drawn and replaced, the probabilities of subsequent draws remain the same, and the draws are independent events.
The probability of two independent events A and B occurring is P(A and B) = P(A) × P(B).

Step-by-Step Solution
In a deck of 52 cards, there are 13 hearts. So the probability of drawing a heart on the first draw, P(Heart1) = 13/52 = 1/4.
There are 12 face cards (4 Jacks, 4 Queens, and 4 Kings) in a deck of 52 cards. So the probability of drawing a face card on the second draw, P(Face2) = 12/52 = 3/13.
Sinc...