Total number of ways that three card drawn from a pack of $52$ cards are ${ }^{52} C_{3}$ and number of ways that three red. cards drawn are ${ }^{26} C_{3}$.
$\therefore $ Required probability
$=\frac{{ }^{26} C_{3}}{{ }^{52} C_{3}}=\frac{26 \times 25 \times 24}{52 \times 51 \times 50}$
$=\frac{2}{17}$