\begin{align*} P(\text{Heart on 2nd draw}) & = P( [ H_1 \cap H_2 ] \cup [ H_1^c \cap H_2 ] )\\ & = P( H_1 \cap H_2 ) + P( H_1^c \cap H_2 )\\ & = \frac{ | H_1 \cap H_2 |}{| P( \text{Number of ways to get two cards} | }\\ & + \frac{ | H_1^c \cap H_2 | }{ | \text{Number of ways to get two cards} | }\\ & = \frac{13}{52} \cdot \frac{12}{51} + \frac{39}{52} \cdot \frac{13}{51} = \frac{12}{4 \cdot 51} + \frac{3 \cdot 13}{4 \cdot 51} \end{align*}