Step 1 :The total number of cards in a deck is 52. The number of non-heart cards is 52 - 13 = 39 (since there are 13 cards of each suit in a deck).
Step 2 :The probability of drawing a non-heart card in the first draw is \(\frac{39}{52}\).
Step 3 :Since the cards are drawn without replacement, the total number of cards decreases by 1 after the first draw, and the number of non-heart cards also decreases by 1.
Step 4 :So, the probability of drawing a non-heart card in the second draw is \(\frac{38}{51}\).
Step 5 :The total probability of drawing a non-heart followed by a non-heart is the product of these two probabilities.
Step 6 :Final Answer: The probability of drawing a non-heart followed by a non-heart is approximately \(\boxed{0.559}\).