A standard deck of cards has 52 total cards, 4 cards that are "2" and 4 card that are "king".
In the first selection, we have 4 "2" to pick from 52 prossibilities, so the probability of the first selection is:
[tex]\frac{4}{52}=\frac{1}{13}[/tex]In the second pick, we have 4 "kings" to pick from 51 possibilities, since the first selection wasn't replaced. so, the probability of the second selection if:
[tex]\frac{4}{51}[/tex]The probability of both happening in succession is the multiplication of the two probabilities:
[tex]\frac{1}{13}\cdot\frac{4}{51}=\frac{4}{663}[/tex]So, the probability of selection a "2" and then selection a "king" is 4/663, which is appproximately 0.00603 or 0.603%.
