The outcome of the first draw affects the next draw so the events are dependent.
So, we have:

P(heart and heart)=P(heart)*P(heart then heart)

The probaability that a heart card is draw on the first draw is: P(heart)=\(\displaystyle\frac{{13}}{{52}}=\frac{{1}}{{4}}\)

The probaability that a heart card is draw on the second draw is: P(heart)=\(\displaystyle\frac{{12}}{{51}}=\frac{{4}}{{17}}\)

So. the probaability of drawing 2 hearts in succession without replacement is: P(heart and heart)=\(\displaystyle\frac{{1}}{{4}}\cdot\frac{{4}}{{17}}\) P(heart and heart)=\(\displaystyle\frac{{1}}{{17}}\)

P(heart and heart)=P(heart)*P(heart then heart)

The probaability that a heart card is draw on the first draw is: P(heart)=\(\displaystyle\frac{{13}}{{52}}=\frac{{1}}{{4}}\)

The probaability that a heart card is draw on the second draw is: P(heart)=\(\displaystyle\frac{{12}}{{51}}=\frac{{4}}{{17}}\)

So. the probaability of drawing 2 hearts in succession without replacement is: P(heart and heart)=\(\displaystyle\frac{{1}}{{4}}\cdot\frac{{4}}{{17}}\) P(heart and heart)=\(\displaystyle\frac{{1}}{{17}}\)