Answer :
Our sample space is [tex]^{52}C_2[/tex], as this is the combination for all of the ways in picking 2 cards out of the 52 cards, assumingly.
Now, there are 4 10 cards, one of each suit.
Thus, in order to pick 2 of the 4, we use the notation: [tex]^{4}C_2[/tex] to pick 2 10 cards
Therefore, our probability becomes: [tex]\frac{^{4}C_2}{^{52}C_2} = \frac{1}{221}[/tex]
Now, there are 4 10 cards, one of each suit.
Thus, in order to pick 2 of the 4, we use the notation: [tex]^{4}C_2[/tex] to pick 2 10 cards
Therefore, our probability becomes: [tex]\frac{^{4}C_2}{^{52}C_2} = \frac{1}{221}[/tex]