A card is picked at random from a pack of 52 playing cards. If the picked card is a queen, then probability of card to be of spade type also, is

\(\frac{1}{3}\) \(\frac{4}{13}\) \(\frac{1}{4}\) \(\frac{1}{2}\)

\(\frac{1}{4}\)

No. of spade cards =13 No. of queen in spade set =1 ∴n(spade queen) =${^{13}C}_1​​$ ∴n (Total no. of cases) =${^{52}C}_1​​$ ∴P (spade queen) =$\frac{{^{13}C}_1}{{^{52}C}_1}=\frac{13}{52}=\frac{1}{4}$