The probability distribution of no. of aces when two cards are drawn without replacement from a pack of 52 cards is :

$x_1$ 0 1 2 $p_1$ $\frac{144}{221}$ $\frac{24}{221}$ $\frac{1}{221}$ $x_1$ 0 1 2 $p_1$ $\frac{144}{169}$ $\frac{24}{144}$ $\frac{1}{144}$   $x_1$ 0 1 2 $p_1$ $\frac{188}{221}$ $\frac{32}{221}$ $\frac{1}{221}$   $x_1$ 0 1 2 $p_1$ $\frac{188}{221}$ $\frac{24}{221}$ $\frac{1}{221}$

$x_1$ 0 1 2 $p_1$ $\frac{188}{221}$ $\frac{32}{221}$ $\frac{1}{221}$